Solving

Two-Step

InequalitiesDesigned by Skip Tyler, Varina High School

• Solving an inequality is similar to solving an equation, with one main difference.

– If you divide the inequality by a negative number, you switch the direction of the symbol.

1) Solve 5m - 8 > 12

+ 8 + 8

5m > 20

5 5

m > 4

5(4) – 8 = 12

1. Draw “the river” 2. Add 8 to both sides3. Simplify4. Divide both sides by 55. Simplify6. Check your answer7. Graph the solution

o4 53

2) Solve 12 - 3a > 18 - 12 - 12

-3a > 6

-3 -3

a < -2

12 - 3(-2) = 18

1. Draw “the river” 2. Subtract 12 from both

sides3. Simplify4. Divide both sides by -3 5. Simplify

(Switch the inequality!)

6. Check your answer7. Graph the solution

o-2 -1-3

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

1. .

2.

3.

4.

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