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**1.6 – Solving Compound and Absolute Value Inequalities**

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**1.6 – Solving Compound and Absolute Value Inequalities**

Example 1 – Solve 13 < 2x + 7 ≤ 17 and graph the solution on a number line.

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**1.6 – Solving Compound and Absolute Value Inequalities**

Example 1 – Solve 13 < 2x + 7 ≤ 17 and graph the solution on a number line. 13 < 2x + 7 ≤ 17

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**1.6 – Solving Compound and Absolute Value Inequalities**

Example 1 – Solve 13 < 2x + 7 ≤ 17 and graph the solution on a number line. 13 < 2x + 7 ≤ 17

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**1.6 – Solving Compound and Absolute Value Inequalities**

Example 1 – Solve 13 < 2x + 7 ≤ 17 and graph the solution on a number line. 13 < 2x + 7 ≤ 17 13 < 2x + 7

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**1.6 – Solving Compound and Absolute Value Inequalities**

Example 1 – Solve 13 < 2x + 7 ≤ 17 and graph the solution on a number line. 13 < 2x + 7 ≤ 17 13 < 2x + 7

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**1.6 – Solving Compound and Absolute Value Inequalities**

Example 1 – Solve 13 < 2x + 7 ≤ 17 and graph the solution on a number line. 13 < 2x + 7 ≤ 17 13 < 2x + 7

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**1.6 – Solving Compound and Absolute Value Inequalities**

Example 1 – Solve 13 < 2x + 7 ≤ 17 and graph the solution on a number line. 13 < 2x + 7 ≤ 17 13 < 2x x + 7 ≤ 17

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**1.6 – Solving Compound and Absolute Value Inequalities**

Example 1 – Solve 13 < 2x + 7 ≤ 17 and graph the solution on a number line. 13 < 2x + 7 ≤ 17 13 < 2x x + 7 ≤ 17

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**1.6 – Solving Compound and Absolute Value Inequalities**

Example 1 – Solve 13 < 2x + 7 ≤ 17 and graph the solution on a number line. 13 < 2x + 7 ≤ 17 13 < 2x x + 7 ≤ 17

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**1.6 – Solving Compound and Absolute Value Inequalities**

Example 1 – Solve 13 < 2x + 7 ≤ 17 and graph the solution on a number line. 13 < 2x + 7 ≤ 17 13 < 2x x + 7 ≤ 17 6

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**1.6 – Solving Compound and Absolute Value Inequalities**

Example 1 – Solve 13 < 2x + 7 ≤ 17 and graph the solution on a number line. 13 < 2x + 7 ≤ 17 13 < 2x x + 7 ≤ 17 6 <

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**1.6 – Solving Compound and Absolute Value Inequalities**

Example 1 – Solve 13 < 2x + 7 ≤ 17 and graph the solution on a number line. 13 < 2x + 7 ≤ 17 13 < 2x x + 7 ≤ 17 6 < 2x

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**1.6 – Solving Compound and Absolute Value Inequalities**

Example 1 – Solve 13 < 2x + 7 ≤ 17 and graph the solution on a number line. 13 < 2x + 7 ≤ 17 13 < 2x x + 7 ≤ 17 6 < 2x

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**1.6 – Solving Compound and Absolute Value Inequalities**

Example 1 – Solve 13 < 2x + 7 ≤ 17 and graph the solution on a number line. 13 < 2x + 7 ≤ 17 13 < 2x x + 7 ≤ 17 6 < 2x 3

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**1.6 – Solving Compound and Absolute Value Inequalities**

Example 1 – Solve 13 < 2x + 7 ≤ 17 and graph the solution on a number line. 13 < 2x + 7 ≤ 17 13 < 2x x + 7 ≤ 17 6 < 2x 3 <

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**1.6 – Solving Compound and Absolute Value Inequalities**

Example 1 – Solve 13 < 2x + 7 ≤ 17 and graph the solution on a number line. 13 < 2x + 7 ≤ 17 13 < 2x x + 7 ≤ 17 6 < 2x 3 < x

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**1.6 – Solving Compound and Absolute Value Inequalities**

Example 1 – Solve 13 < 2x + 7 ≤ 17 and graph the solution on a number line. 13 < 2x + 7 ≤ 17 13 < 2x x + 7 ≤ 17 6 < 2x 3 < x

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**1.6 – Solving Compound and Absolute Value Inequalities**

Example 1 – Solve 13 < 2x + 7 ≤ 17 and graph the solution on a number line. 13 < 2x + 7 ≤ 17 13 < 2x x + 7 ≤ 17 6 < 2x x 3 < x

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**1.6 – Solving Compound and Absolute Value Inequalities**

Example 1 – Solve 13 < 2x + 7 ≤ 17 and graph the solution on a number line. 13 < 2x + 7 ≤ 17 13 < 2x x + 7 ≤ 17 6 < 2x x < 3 < x

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**1.6 – Solving Compound and Absolute Value Inequalities**

Example 1 – Solve 13 < 2x + 7 ≤ 17 and graph the solution on a number line. 13 < 2x + 7 ≤ 17 13 < 2x x + 7 ≤ 17 6 < 2x x < 10 3 < x

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**1.6 – Solving Compound and Absolute Value Inequalities**

Example 1 – Solve 13 < 2x + 7 ≤ 17 and graph the solution on a number line. 13 < 2x + 7 ≤ 17 13 < 2x x + 7 ≤ 17 6 < 2x x ≤ 10 3 < x

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**1.6 – Solving Compound and Absolute Value Inequalities**

Example 1 – Solve 13 < 2x + 7 ≤ 17 and graph the solution on a number line. 13 < 2x + 7 ≤ 17 13 < 2x x + 7 ≤ 17 6 < 2x x ≤ 10 3 < x x

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**1.6 – Solving Compound and Absolute Value Inequalities**

Example 1 – Solve 13 < 2x + 7 ≤ 17 and graph the solution on a number line. 13 < 2x + 7 ≤ 17 13 < 2x x + 7 ≤ 17 6 < 2x x ≤ 10 3 < x x <

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**1.6 – Solving Compound and Absolute Value Inequalities**

Example 1 – Solve 13 < 2x + 7 ≤ 17 and graph the solution on a number line. 13 < 2x + 7 ≤ 17 13 < 2x x + 7 ≤ 17 6 < 2x x ≤ 10 3 < x x < 5

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**1.6 – Solving Compound and Absolute Value Inequalities**

Example 1 – Solve 13 < 2x + 7 ≤ 17 and graph the solution on a number line. 13 < 2x + 7 ≤ 17 13 < 2x x + 7 ≤ 17 6 < 2x x ≤ 10 3 < x x < 5

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**1.6 – Solving Compound and Absolute Value Inequalities**

Example 1 – Solve 13 < 2x + 7 ≤ 17 and graph the solution on a number line. 13 < 2x + 7 ≤ 17 13 < 2x x + 7 ≤ 17 6 < 2x x ≤ 10 3 < x x < 5 3 < x

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**1.6 – Solving Compound and Absolute Value Inequalities**

Example 1 – Solve 13 < 2x + 7 ≤ 17 and graph the solution on a number line. 13 < 2x + 7 ≤ 17 13 < 2x x + 7 ≤ 17 6 < 2x x ≤ 10 3 < x x ≤ 5 3 < x

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**1.6 – Solving Compound and Absolute Value Inequalities**

Example 1 – Solve 13 < 2x + 7 ≤ 17 and graph the solution on a number line. 13 < 2x + 7 ≤ 17 13 < 2x x + 7 ≤ 17 6 < 2x x ≤ 10 3 < x x ≤ 5 3 < x < 5

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**1.6 – Solving Compound and Absolute Value Inequalities**

Example 1 – Solve 13 < 2x + 7 ≤ 17 and graph the solution on a number line. 13 < 2x + 7 ≤ 17 13 < 2x x + 7 ≤ 17 6 < 2x x ≤ 10 3 < x x ≤ 5 3 < x ≤ 5

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**1.6 – Solving Compound and Absolute Value Inequalities**

Example 1 – Solve 13 < 2x + 7 ≤ 17 and graph the solution on a number line. 13 < 2x + 7 ≤ 17 13 < 2x x + 7 ≤ 17 6 < 2x x ≤ 10 3 < x x ≤ 5 3 < x ≤ 5 3 5

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**1.6 – Solving Compound and Absolute Value Inequalities**

Example 1 – Solve 13 < 2x + 7 ≤ 17 and graph the solution on a number line. 13 < 2x + 7 ≤ 17 13 < 2x x + 7 ≤ 17 6 < 2x x ≤ 10 3 < x x ≤ 5 3 < x ≤ 5 3 5

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**1.6 – Solving Compound and Absolute Value Inequalities**

Example 1 – Solve 13 < 2x + 7 ≤ 17 and graph the solution on a number line. 13 < 2x + 7 ≤ 17 13 < 2x x + 7 ≤ 17 6 < 2x x ≤ 10 3 < x x ≤ 5 3 < x ≤ 5 3 5

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**1.6 – Solving Compound and Absolute Value Inequalities**

Example 1 – Solve 13 < 2x + 7 ≤ 17 and graph the solution on a number line. 13 < 2x + 7 ≤ 17 13 < 2x x + 7 ≤ 17 6 < 2x x ≤ 10 3 < x x ≤ 5 3 < x ≤ 5 3 5

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**1.6 – Solving Compound and Absolute Value Inequalities**

Example 1 – Solve 13 < 2x + 7 ≤ 17 and graph the solution on a number line. 13 < 2x + 7 ≤ 17 13 < 2x x + 7 ≤ 17 6 < 2x x ≤ 10 3 < x x ≤ 5 3 < x ≤ 5 3 5

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**Example 2 – Solve y – 2 > -3 or y + 4 ≤ -3 and**

Example 2 – Solve y – 2 > -3 or y + 4 ≤ -3 and graph the solution on a number line.

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**Example 2 – Solve y – 2 > -3 or y + 4 ≤ -3 and graph the solution on a number line.**

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**Example 2 – Solve y – 2 > -3 or y + 4 ≤ -3 and**

Example 2 – Solve y – 2 > -3 or y + 4 ≤ -3 and graph the solution on a number line. y – 2 > -3 or y + 4 ≤ -3

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**Example 2 – Solve y – 2 > -3 or y + 4 ≤ -3 and**

Example 2 – Solve y – 2 > -3 or y + 4 ≤ -3 and graph the solution on a number line. y – 2 > -3 or y + 4 ≤ -3 y – 2 > or y + 4 ≤ -3

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**Example 2 – Solve y – 2 > -3 or y + 4 ≤ -3 and**

Example 2 – Solve y – 2 > -3 or y + 4 ≤ -3 and graph the solution on a number line. y – 2 > -3 or y + 4 ≤ -3 y – 2 > or y + 4 ≤ -3

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**Example 2 – Solve y – 2 > -3 or y + 4 ≤ -3 and**

Example 2 – Solve y – 2 > -3 or y + 4 ≤ -3 and graph the solution on a number line. y – 2 > -3 or y + 4 ≤ -3 y – 2 > or y + 4 ≤ -3 y > or y ≤ -7

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**Example 2 – Solve y – 2 > -3 or y + 4 ≤ -3 and**

Example 2 – Solve y – 2 > -3 or y + 4 ≤ -3 and graph the solution on a number line. y – 2 > -3 or y + 4 ≤ -3 y – 2 > or y + 4 ≤ -3 y > or y ≤ -7

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**Example 2 – Solve y – 2 > -3 or y + 4 ≤ -3 and**

Example 2 – Solve y – 2 > -3 or y + 4 ≤ -3 and graph the solution on a number line. y – 2 > -3 or y + 4 ≤ -3 y – 2 > or y + 4 ≤ -3 y > or y ≤ -7 -7 -1

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**Example 2 – Solve y – 2 > -3 or y + 4 ≤ -3 and**

Example 2 – Solve y – 2 > -3 or y + 4 ≤ -3 and graph the solution on a number line. y – 2 > -3 or y + 4 ≤ -3 y – 2 > or y + 4 ≤ -3 y > or y ≤ -7 -7 -1

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**Example 2 – Solve y – 2 > -3 or y + 4 ≤ -3 and**

Example 2 – Solve y – 2 > -3 or y + 4 ≤ -3 and graph the solution on a number line. y – 2 > -3 or y + 4 ≤ -3 y – 2 > or y + 4 ≤ -3 y > or y ≤ -7 -7 -1

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**Example 2 – Solve y – 2 > -3 or y + 4 ≤ -3 and**

Example 2 – Solve y – 2 > -3 or y + 4 ≤ -3 and graph the solution on a number line. y – 2 > -3 or y + 4 ≤ -3 y – 2 > or y + 4 ≤ -3 y > or y ≤ -7 -7 -1

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**Example 2 – Solve y – 2 > -3 or y + 4 ≤ -3 and**

Example 2 – Solve y – 2 > -3 or y + 4 ≤ -3 and graph the solution on a number line. y – 2 > -3 or y + 4 ≤ -3 y – 2 > or y + 4 ≤ -3 y > or y ≤ -7 -7 -1

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**Example 2 – Solve y – 2 > -3 or y + 4 ≤ -3 and**

Example 2 – Solve y – 2 > -3 or y + 4 ≤ -3 and graph the solution on a number line. y – 2 > -3 or y + 4 ≤ -3 y – 2 > or y + 4 ≤ -3 y > or y ≤ -7 -7 -1

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Example 3 (a) Solve |a| < 4. Graph the solution on a number line.

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Example 3 (a) Solve |a| < 4. Graph the solution on a number line. |a| < 4

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Example 3 (a) Solve |a| < 4. Graph the solution on a number line. |a| < 4 a < 4 or a > -4

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**(a) Solve |a| < 4. Graph the solution on a number line. |a| < 4 **

Example 3 (a) Solve |a| < 4. Graph the solution on a number line. |a| < 4 a < 4 or a > -4 -4 4

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**(a) Solve |a| < 4. Graph the solution on a number line. |a| < 4 **

Example 3 (a) Solve |a| < 4. Graph the solution on a number line. |a| < 4 a < 4 or a > -4 (b) Solve |a| > 4. Graph the solution on a number line. -4 4

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**(a) Solve |a| < 4. Graph the solution on a number line. |a| < 4 **

Example 3 (a) Solve |a| < 4. Graph the solution on a number line. |a| < 4 a < 4 or a > -4 (b) Solve |a| > 4. Graph the solution on a number line. |a| > 4 -4 4

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**(a) Solve |a| < 4. Graph the solution on a number line. |a| < 4 **

Example 3 (a) Solve |a| < 4. Graph the solution on a number line. |a| < 4 a < 4 or a > -4 (b) Solve |a| > 4. Graph the solution on a number line. |a| > 4 a > or a < -4 -4 4

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**(a) Solve |a| < 4. Graph the solution on a number line. |a| < 4 **

Example 3 (a) Solve |a| < 4. Graph the solution on a number line. |a| < 4 a < 4 or a > -4 (b) Solve |a| > 4. Graph the solution on a number line. |a| > 4 a > or a < -4 -4 4 -4 4

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**Example 4 – Solve |3x – 12| ≥ 6 and graph the**

Example 4 – Solve |3x – 12| ≥ 6 and graph the solution on a number line.

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**Example 4 – Solve |3x – 12| ≥ 6 and graph the**

Example 4 – Solve |3x – 12| ≥ 6 and graph the solution on a number line. |3x – 12| ≥ 6

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**Example 4 – Solve |3x – 12| ≥ 6 and graph the**

Example 4 – Solve |3x – 12| ≥ 6 and graph the solution on a number line. |3x – 12| ≥ 6 3x – 12 ≥ 6

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**Example 4 – Solve |3x – 12| ≥ 6 and graph the**

Example 4 – Solve |3x – 12| ≥ 6 and graph the solution on a number line. |3x – 12| ≥ 6 3x – 12 ≥ x – 12 < -6

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**Example 4 – Solve |3x – 12| ≥ 6 and graph the**

Example 4 – Solve |3x – 12| ≥ 6 and graph the solution on a number line. |3x – 12| ≥ 6 3x – 12 ≥ x – 12 < -6 _

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**Example 4 – Solve |3x – 12| ≥ 6 and graph the**

Example 4 – Solve |3x – 12| ≥ 6 and graph the solution on a number line. |3x – 12| ≥ 6 3x – 12 ≥ x – 12 < -6 _ 3x ≥ x < 6

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**Example 4 – Solve |3x – 12| ≥ 6 and graph the**

Example 4 – Solve |3x – 12| ≥ 6 and graph the solution on a number line. |3x – 12| ≥ 6 3x – 12 ≥ x – 12 < -6 _ 3x ≥ x < 6

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**Example 4 – Solve |3x – 12| ≥ 6 and graph the**

Example 4 – Solve |3x – 12| ≥ 6 and graph the solution on a number line. |3x – 12| ≥ 6 3x – 12 ≥ x – 12 < -6 _ 3x ≥ x < 6 x ≥ x < 2

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**Example 4 – Solve |3x – 12| ≥ 6 and graph the**

Example 4 – Solve |3x – 12| ≥ 6 and graph the solution on a number line. |3x – 12| ≥ 6 3x – 12 ≥ x – 12 < -6 _ 3x ≥ x < 6 x ≥ x < 2 2 6

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Linear Inequalities and Absolute Value Inequalities.

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