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Objective The student will be able to:

Objective The student will be able to:. solve two-step inequalities. SOL: A.5abc. Designed by Skip Tyler, Varina High School. o. 3. 4. 5. 1) Solve 5m - 8 > 12. + 8 + 8 5m > 20 5 5 m > 4 5( 4 ) – 8 = 12. Draw “the river” Add 8 to both sides

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Objective The student will be able to:

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  1. ObjectiveThe student will be able to: solve two-step inequalities. SOL: A.5abc Designed by Skip Tyler, Varina High School

  2. o 3 4 5 1) Solve 5m - 8 > 12 + 8 + 8 5m > 20 5 5 m > 4 5(4) – 8 = 12 • Draw “the river” • Add 8 to both sides • Simplify • Divide both sides by 5 • Simplify • Check your answer • Graph the solution

  3. o -3 -2 -1 2) Solve 12 - 3a > 18 - 12 - 12 -3a > 6 -3 -3 a < -2 12 - 3(-2) = 18 • Draw “the river” • Subtract 12 from both sides • Simplify • Divide both sides by -3 • Simplify (Switch the inequality!) • Check your answer • Graph the solution

  4. Answer Now Which graph shows the solution to 2x - 10 ≥ 4? • .

  5. o 4 5 6 3) Solve 5m - 4 < 2m + 11 -2m -2m 3m - 4 < 11 + 4 + 4 3m < 15 3 3 m < 5 5(5) – 4 = 2(5) + 11 • Draw “the river” • Subtract 2m from both sides • Simplify • Add 4 to both sides • Simplify • Divide both sides by 3 • Simplify • Check your answer • Graph the solution

  6. ● -8 -7 -6 4) Solve 2r - 18 ≤ 5r + 3 -2r -2r -18 ≤ 3r + 3 - 3 - 3 -21 ≤ 3r 3 3 -7 ≤ r or r ≥ -7 2(-7) – 18 = 5(-7) + 3 • Draw “the river” • Subtract 2r from both sides • Simplify • Subtract 3 from both sides • Simplify • Divide both sides by 3 • Simplify • Check your answer • Graph the solution

  7. Answer Now 6) Solve -2x + 6 ≥ 3x - 4 • x ≥ -2 • x ≤ -2 • x ≥ 2 • x ≤ 2

  8. o 6 7 8 -14p -14p 12p – 20 > 64 + 20 + 20 12p > 84 12 12 p > 7 26(7) – 20 = 14(7) + 64 • Draw “the river” • Subtract 14p from both sides • Simplify • Add 20 to both sides • Simplify • Divide both sides by 12 • Simplify • Check your answer • Graph the solution 5) Solve 26p - 20 > 14p + 64

  9. Answer Now What are the values of x if 3(x + 4) - 5(x - 1) < 5? • x < -6 • x > -6 • x < 6 • x > 6

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