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

1) Solve 5m - 8 > m > m > 4 5(4) – 8 = 12 1.Draw “the river” 2.Add 8 to both sides 3.Simplify 4.Divide both sides by 5 5.Simplify 6.Check your answer 7.Graph the solution o 453

2) Solve a > a > a < (-2) = 18 1.Draw “the river” 2.Subtract 12 from both sides 3.Simplify 4.Divide both sides by -3 5.Simplify (Switch the inequality!) 6.Check your answer 7.Graph the solution o -2-3

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

3) Solve 5m - 4 < 2m m 3m - 4 < m < m < 5 5(5) – 4 = 2(5) Draw “the river” 2.Subtract 2m from both sides 3.Simplify 4.Add 4 to both sides 5.Simplify 6.Divide both sides by 3 7.Simplify 8.Check your answer 9.Graph the solution o 564

4) Solve 2r - 18 ≤ 5r r -18 ≤ 3r ≤ 3r ≤ r or r ≥ -7 2(-7) – 18 = 5(-7) Draw “the river” 2.Subtract 2r from both sides 3.Simplify 4.Subtract 3 from both sides 5.Simplify 6.Divide both sides by 3 7.Simplify 8.Check your answer 9.Graph the solution ●

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

5) Solve 26p - 20 > 14p p 12p – 20 > p > p > 7 26(7) – 20 = 14(7) Draw “the river” 2.Subtract 14p from both sides 3.Simplify 4.Add 20 to both sides 5.Simplify 6.Divide both sides by 12 7.Simplify 8.Check your answer 9.Graph the solution o 786

What are the values of x if 3(x + 4) - 5(x - 1) < 5? Answer Now 1.x < -6 2.x > -6 3.x < 6 4.x > 6