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

2. 1) Solve 5m - 8 > 12 + 8 + 8 5m > 20 5 5 {m l m > 4}
5m > 20
{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 o 4 5 3

3. 2) Solve 12 - 3a > 18 - 12 - 12 -3a > 6 -3 -3 {a l a < -2}
-3a > 6
{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 o -2 -1 -3

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

5. 3) Solve 5m - 4 < 2m + 11 o -2m -2m 3m - 4 < 11 + 4 + 4
3m < 15
{m l m < 5}
5(5) – 4 = 2(5) + 11
Subtract 2m from both sides
Simplify
Add 4 to both sides
Divide both sides by 3
Simplify in set notation
Check your answer
Graph the solution o 5 6 4

6. 4) Solve 2r - 18 ≤ 5r + 3 ● -2r -2r -18 ≤ 3r + 3 - 3 - 3 -21 ≤ 3r 3 3
-21 ≤ 3r
{r l r ≥ -7}
2(-7) – 18 = 5(-7) + 3
Subtract 2r from both sides
Simplify
Subtract 3 from both sides
Divide both sides by 3
Simplify in set notation
Check your answer
Graph the solution ● -7 -6 -8

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

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

9. 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}
Answer Now

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