6.3 Solving Multi-Step Inequalities

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6.3 Solving Multi-StepInequalities
Indicators PFA7, PFA8, PFA9, NS4
Designed by Skip Tyler, Varina High School Edited
by Eddie Judd, Crestwood Middle School
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1) Solve 5m - 8 gt 12
8 8 5m gt 20 5
5 m l m gt 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

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2) Solve 12 - 3a gt 18
- 12 - 12 -3a gt 6 -3
-3 a l a lt -2 12 - 3(-2) 18

1. Subtract 12 from both sides
2. Simplify
3. Divide both sides by -3
4. Simplify in set notation(Switch the inequality!)
5. Check your answer
6. Graph the solution

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

1. .

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3) Solve 5m - 4 lt 2m 11
-2m -2m 3m - 4 lt 11 4
4 3m lt 15 3 3
m l m lt 5 5(5) 4 2(5) 11

1. Subtract 2m from both sides
2. Simplify
3. Add 4 to both sides
4. Simplify
5. Divide both sides by 3
6. Simplify in set notation
7. Check your answer
8. Graph the solution

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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

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6) Solve -2x 6 3x - 4

1. x l x -2
2. x l x -2
3. x l x 2
4. x l x 2

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5) Solve 26p - 20 gt 14p 64
-14p -14p 12p 20 gt 64
20 20 12p gt 84
12 12 p l p gt 7 26(7) 20 14(7) 64

1. Subtract 14p from both sides
2. Simplify
3. Add 20 to both sides
4. Simplify
5. Divide both sides by 12
6. Simplify in set notation
7. Check your answer
8. Graph the solution

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What are the values of x if 3(x 4) - 5(x - 1)
lt 5?

1. x l x lt -6
2. x l x gt -6
3. x l x lt 6
4. x l x gt 6

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Assignment

• Pg 311
• problems 11-33 odds and 34-38.