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Compound Inequalities

# Solve compound inequalities

To solve for a variable, use inverse operations to undo the operations in the inequality. Be sure to do the same operation to all parts of the inequality.

Solve for f.

-5 < f + 13 ≤ 5

 -5 -13 < f + 13 -13 ≤ 5 -13 Subtract 13 from each part of the inequality -18 < f ≤ -8 Simplify

Solve for c

2 > c - 6 ≥ 6

-4 ≥ c ≥ 12
8 ≥ c ≥ 0
8 ≥ c ≥ 12
-4 ≥ c ≥ 0