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WU 36

WU 36. Solve: 1. |x – 4| = 9 |7x – 2| = 5 |3x – 2| + 4 = 21 Write the inequality shown: 4. 5. 0. -3. 2. -4. 0. 4. 9.4 Inequalities and Absolute Value. 2 Cases. Case 1: Less Than. Case 2: Greater Than. |A| >b Disjunction A<-b or A>b. |A| <b Conjunction -b<A<b.

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WU 36

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

  2. 9.4 Inequalities and Absolute Value

  3. 2 Cases Case 1: Less Than Case 2: Greater Than |A| >b Disjunction A<-b or A>b |A| <b Conjunction -b<A<b

  4.  8  7  6  5  4  3  2  1 0 1 2 3 4 5 6 7 8 Solve and graph:|x + 2|  5 x + 2 = -5 x + 2 = 5 x = 3 x = -7 To solve an inequality of the form |A| < b, where b is a positive number, we solve the conjunction –b < A < b.

  5.  8  7  6  5  4  3  2  1 0 1 2 3 4 5 6 7 8 Solve and graph:|4x - 10| >2 4x - 10 = 2 x = 3 • Solve for both end points. • Write solution as disjunction (x< 2 or x > 6)

  6.  8  7  6  5  4  3  2  1 0 1 2 3 4 5 6 7 8 Solve and graph:|3x - 8| 5 3x - 8 = 5 3x = 13 To solve an inequality of the form |A| > b, where b is a positive number, we solve the disjunctionA < -b or A > b.

  7.  8  7  6  5  4  3  2  1 0 1 2 3 4 5 6 7 8 Solve and graph:|3x|  18 x = 6 x = -6 -6  x  6 To solve an inequality of the form |A| < b, where b is a positive number, we solve the conjunction –b < A < b.

  8.  8  7  6  5  4  3  2  1 0 1 2 3 4 5 6 7 8 Solve and graph: |3x – 4 |  2 x = 2 2/3  x  2

  9.  8  7  6  5  4  3  2  1 0 1 2 3 4 5 6 7 8 Solve and graph: |4x – 9 |  7 x = 4

  10.  8  7  6  5  4  3  2  1 0 1 2 3 4 5 6 7 8 Solve and graph: |3x +4 |  19 x = 5

  11.  8  7  6  5  4  3  2  1 0 1 2 3 4 5 6 7 8 Solve and graph:|7x + 4 |+ 6  2

  12. Solve :

  13. Assignment:Page 415(2-38) even

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