Post on 24-Dec-2015
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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