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# Solving inequalities

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### Solving inequalities

1. 1. ObjectiveThe student will be able to: solve two-step inequalities.
2. 2. 1) Solve 5m - 8 > 121. Draw “the river” +8 +82. Add 8 to both sides3. Simplify 5m > 204. Divide both sides by 55. Simplify 5 56. Check your answer m>47. Graph the solution 5(4) – 8 = 12 o 3 4 5
3. 3. 2) Solve 12 - 3a > 181. Draw “the river” - 12 - 122. Subtract 12 from both sides -3a > 63. Simplify4. Divide both sides by -3 -3 -35. Simplify (Switch the inequality!) a < -26. Check your answer 12 - 3(-2) = 187. Graph the solution o -3 -2 -1
4. 4. Which graph shows the solution to 2x - 10 ≥ 4?1. .2.3.4. Answer Now
5. 5. 3) Solve 5m - 4 < 2m + 111. Draw “the river” -2m -2m2. Subtract 2m from both 3m - 4 < 11 sides3. Simplify +4 +44. Add 4 to both sides 3m < 155. Simplify6. Divide both sides by 3 3 37. Simplify m<58. Check your answer 5(5) – 4 = 2(5) + 119. Graph the solution o 4 5 6
6. 6. 4) Solve 2r - 18 ≤ 5r + 3 -2r -2r1. Draw “the river”2. Subtract 2r from both sides -18 ≤ 3r + 33. Simplify -3 -34. Subtract 3 from both sides5. Simplify -21 ≤ 3r6. Divide both sides by 37. Simplify 3 38. Check your answer -7 ≤ r or r ≥ -79. Graph the solution 2(-7) – 18 = 5(-7) + 3 ● -8 -7 -6
7. 7. 6) Solve -2x + 6 ≥ 3x - 41. x≥ -22. x≤ -23. x≥ 24. x≤ 2 Answer Now
8. 8. 5) Solve 26p - 20 > 14p + 64 -14p -14p1. Draw “the river”2. Subtract 14p from both 12p – 20 > 64 sides3. Simplify + 20 + 204. Add 20 to both sides 12p > 845. Simplify6. Divide both sides by 12 12 127. Simplify8. Check your answer p>79. Graph the solution 26(7) – 20 = 14(7) + 64 o 6 7 8
9. 9. What are the values of x if 3(x + 4) - 5(x - 1) < 5?1. x < -62. x > -63. x<64. x>6 Answer Now
10. 10. What are the values of x if 3(x + 4) - 5(x - 1) < 5?1. x < -62. x > -63. x<64. x>6 Answer Now