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 > 12 + 8 + 8 5m > 20 5 5 m > 4 5(4) – 8 = 12 + 8 + 8 5m > 20 5 5 m > 4 5(4) – 8 = 12 Draw “the line” Add 8 to both sides Simplify Divide both sides by 5 Check your answer Graph the solution o 4 5 3

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

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

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

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

6) Solve 6 ≥ 5x - 4 x ≥ -2 x ≤ -2 x ≥ 2 x ≤ 2 Answer Now

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