Objective%20The%20student%20will%20be%20able%20to:

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ObjectiveThe student will be able to
solve two-step inequalities. SOL A.5abc
Designed by Skip Tyler, Varina High School
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1) Solve 5m - 8 gt 12
8 8 5m gt 20 5
5 m gt 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

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

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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 lt 5 5(5) 4 2(5) 11

1. 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

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4) Solve 2r - 18 5r 3
-2r -2r -18 3r 3
- 3 - 3 -21 3r
3 3 -7 r or r -7 2(-7)
18 5(-7) 3

1. 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

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6) Solve -2x 6 3x - 4

1. x -2
2. x -2
3. x 2
4. 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 gt 7 26(7) 20
14(7) 64

1. 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

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

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