Solve: 1. |x – 4| = 9 2.|7x – 2| = 5 3.|3x – 2| + 4 = 21 Write the inequality shown: 4. 5. -32 0 4 -4 0 WU 36.

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Presentation transcript:

Solve: 1. |x – 4| = 9 2.|7x – 2| = 5 3.|3x – 2| + 4 = 21 Write the inequality shown: WU 36

9.4 Inequalities and Absolute Value Goal(s): Solve and graph inequalities involving absolute value in the form of A > b and A < b

2 Cases [A] <b (less than) Conjunction -b<A<b [A] >b (greater than) Disjunction A b

Solve and graph: |x + 2|  5 x + 2 = 5 x = 3 x + 2 = - 5 x = -7  8  7  6  5  4  3  2  To solve an inequality of the form |A| < b, where b is a positive number, we solve the conjunction –b < A < b.

Solve and graph: |4x - 10| > 2 4x - 10 = 2  8  7  6  5  4  3  2  Solve for both end points. 2.Write solution as disjunction (x 6) x = 3

Solve and graph: |3x - 8|  5 3x - 8 = 5  8  7  6  5  4  3  2  To solve an inequality of the form |A| > b, where b is a positive number, we solve the disjunction A b. 3x = 13

Solve and graph: |3x|  18 x = 6x = -6  8  7  6  5  4  3  2   x  6 To solve an inequality of the form |A| < b, where b is a positive number, we solve the conjunction –b < A < b.

Solve and graph: |3x – 4 |  2 x = 2  8  7  6  5  4  3  2  /3  x  2

Solve and graph: |4x – 9 |  7 x = 4  8  7  6  5  4  3  2 

Solve and graph: |3x +4 |  19 x = 5  8  7  6  5  4  3  2 

Solve and graph: |7x + 4 |+ 6  2  8  7  6  5  4  3  2 

Solve :

Assignment: Page 415 (2-38) even