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Solving Inequalities with variables on both sides of the Sign Chapter 6.3.

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Presentation on theme: "Solving Inequalities with variables on both sides of the Sign Chapter 6.3."— Presentation transcript:

1 Solving Inequalities with variables on both sides of the Sign Chapter 6.3

2 Solving Inequalities with variables on both sides of the Sign  Lesson Objective: NCSCOS Use linear functions to model and solve problems  Students will know how to solve equations with variables on both sides.  Students will know how to use the distributive property to solve problems.  Students will know how to combine like terms to solve problems

3 Solving Inequalities with variables on both sides of the Sign  Example 1:  First we must get all the variables on one side of the equation.  Subtract 3x from both sides  Second we have to get all the numbers on the other side  Add 8 to both sides  Divide both sides by 2

4 Solving Inequalities with variables on both sides of the Sign 1. 6 – x > 5x y – 4y ≥ 3y m – 8 ≤ 10 – 2m k < k 5. (2/5)x – 8 ≤ 9 – (3/5)x

5 Solving Inequalities with variables on both sides of the Sign  Example 2:  Distribute on both sides  Add 10x to both sides  Add 4 to both sides  Divide by 18

6 Solving Inequalities with variables on both sides of the Sign 1. -3(x + 5) < 3(x – 1) 2. 5(x + 2) ≤ 2(3 – x) 3. 4(m + 3) > (y – 2) < 2(5 – y) 5. 3(x – 8) ≥ 3x

7 Solving Inequalities with variables on both sides of the Sign  Example 3:  Distribute on both sides  Combine like terms on either side of the equals sign  Subtract 3x from both sides  Subtract 24 from both sides  Divide by 2

8 Solving Inequalities with variables on both sides of the Sign 1. 3(x – 8) – 5 ≤ 9(x + 2) (x + 2) + x ≥ 5 + 4(x – 2) 3. 5x – (3x – 3) > 2x + 3(x + 4)

9 Solving Inequalities with variables on both sides of the Sign 1. 2x + 3 ≤ 3x – x – 3 > 3 – 2x 3. 2(x + 3) ≥ 3(x – 4) 4. 5(2x – 4) < -6(2 – x) 5. 3(x + 2) – 2x > 4(x -3) + 6


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