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3.4 Solving Multi-Step Inequalities

3.4 Solving Multi-Step Inequalities. Objective: SWBAT multi-step problems involving linear inequalities in one variable and provide justification for each step. Mini Quiz 23 . Practice Problems. Solve and graph the inequalities: 1. x + 5 < -3 x < -8 2. -5 ≤ 6x – 11 1 ≤ x or x ≥ 1

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3.4 Solving Multi-Step Inequalities

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  1. 3.4 Solving Multi-Step Inequalities Objective: SWBAT multi-step problems involving linear inequalities in one variable and provide justification for each step.

  2. Mini Quiz 23

  3. Practice Problems Solve and graph the inequalities: 1. x + 5 < -3 x < -8 2. -5 ≤ 6x – 11 1 ≤ x or x ≥ 1 3. ⅔ x + 3 ≥ 11 x ≥ 12 4. 2x + 10 ≥ -2(x – 1) x ≥ -2 -8 0 0 0 12 0

  4. Problems Solve. 5. -3x – 0.4 > 0.8 x < -0.4 6. 12 > -2x – 6 x > -9 7. 6 ≥ x – 1 x ≤ 3 8. -x + 6 > -(2x + 4) x > -10

  5. Problems 9. -2(x + 3) < 4x – 7 x > 10. 4 – 2m ≤ 5 – m + 1 m ≥ -2 11. n ≤ - ½ 12. 3.8 – x ≤ 5.2 – 2x x ≤ 1.4 13. 4(a – 2) – 6a ≤ -9 x ≥ ½

  6. Wrap Up • Solve multi-step inequalities HW: P. 147 #13-33 EOO, 41-49 odd, 51-63 EOO Write DLUQ for notes.

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