6.3 Solving Multi-Step Inequalities

1. 6.3 Solving Multi-StepInequalities Indicators: PFA7, PFA8, PFA9, NS4 Designed by Skip Tyler, Varina High School Edited by Eddie Judd, Crestwood Middle School

2. o 3 4 5 1) Solve 5m - 8 > 12 + 8 + 8 5m > 20 5 5 {m l m > 4} 5(4) – 8 = 12 • Add 8 to both sides • Simplify • Divide both sides by 5 • Simplify in set notation • Check your answer • Graph the solution

3. o -3 -2 -1 2) Solve 12 - 3a > 18 - 12 - 12 -3a > 6 -3 -3 {a l a < -2} 12 - 3(-2) = 18 • Subtract 12 from both sides • Simplify • Divide both sides by -3 • Simplify in set notation(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 l m < 5} 5(5) – 4 = 2(5) + 11 • Subtract 2m from both sides • Simplify • Add 4 to both sides • Simplify • Divide both sides by 3 • Simplify in set notation • 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 {r l r ≥ -7} 2(-7) – 18 = 5(-7) + 3 • Subtract 2r from both sides • Simplify • Subtract 3 from both sides • Simplify • Divide both sides by 3 • Simplify in set notation • Check your answer • Graph the solution

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

8. o 6 7 8 5) Solve 26p - 20 > 14p + 64 -14p -14p 12p – 20 > 64 + 20 + 20 12p > 84 12 12 {p l p > 7} 26(7) – 20 = 14(7) + 64 • Subtract 14p from both sides • Simplify • Add 20 to both sides • Simplify • Divide both sides by 12 • Simplify in set notation • Check your answer • Graph the solution

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

10. Assignment Pg 311 problems: 11-33 odds and 34-38.