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1 of 7
Multi-Step & Compound
                   Inequalities
              12
October 17, 20




                   Warm-Up Questions
                   Practice Problems
                      Class Work
Warm-Up Questions

1. Solve:   4(2x-6) - 7(3x+8) = 89


2. Solve for x:   -9x < 18


3. 3/17x < -1


4. -3| x + 4| - 2 = 4 + 5| x + 4|
Multi-Step & Compound
                Inequalities
1. 3x -2(6x - 4) > 4 - (4x + 6)
1. 3x -12x + 8 > -2 - 4x; -5x > -10;        x<2

 2. 6x - 4 < 2x + 12
 2. 4x < 16     x<4

 3. 3x - 15 > 4 + 5x
 3. -2x > 19;     x < - 19/2; x < - 9 1/2


 Compound Inequalities Next
Multi-Step & Compound
                Inequalities
If a compound inequality uses 'and', both inequalities
                                and
must be true. The solution set is the intersection of the
two inequalities.
1. Graph the solutions set of x < 2 and x > -1




  The solution set is therefore: { x| -1 < x < 2}
Class Work

 • 5-3 All
 • 5-4 All
Title
• Lorem ipsum dolor sit amet, consectetuer
  adipiscing elit. Vivamus et magna. Fusce sed
  sem sed magna suscipit egestas.
• Lorem ipsum dolor sit amet, consectetuer
  adipiscing elit. Vivamus et magna. Fusce sed
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Title

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October 17

  • 1. Multi-Step & Compound Inequalities 12 October 17, 20 Warm-Up Questions Practice Problems Class Work
  • 2. Warm-Up Questions 1. Solve: 4(2x-6) - 7(3x+8) = 89 2. Solve for x: -9x < 18 3. 3/17x < -1 4. -3| x + 4| - 2 = 4 + 5| x + 4|
  • 3. Multi-Step & Compound Inequalities 1. 3x -2(6x - 4) > 4 - (4x + 6) 1. 3x -12x + 8 > -2 - 4x; -5x > -10; x<2 2. 6x - 4 < 2x + 12 2. 4x < 16 x<4 3. 3x - 15 > 4 + 5x 3. -2x > 19; x < - 19/2; x < - 9 1/2 Compound Inequalities Next
  • 4. Multi-Step & Compound Inequalities If a compound inequality uses 'and', both inequalities and must be true. The solution set is the intersection of the two inequalities. 1. Graph the solutions set of x < 2 and x > -1 The solution set is therefore: { x| -1 < x < 2}
  • 5. Class Work • 5-3 All • 5-4 All
  • 6. Title • Lorem ipsum dolor sit amet, consectetuer adipiscing elit. Vivamus et magna. Fusce sed sem sed magna suscipit egestas. • Lorem ipsum dolor sit amet, consectetuer adipiscing elit. Vivamus et magna. Fusce sed sem sed magna suscipit egestas.