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3q + 11 + 8q > 99
11q + 11 > 99
Subtract '11' from both sides
11q > 99 - 11
11q > 88
Divide both sides by (+)11
q > 88/11
q > 8 ('q' is greater than '8').
Verification
When q = 7 (8)
11(9) = 99 > 88 (True)
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How do you solve an inequality with fractions and variables on both sides?
You solve an inequality the same way you solve an equality. You add and subtract, multiply and divide, both sides by the same value in order to isolate one of the variables. The only extra thing you need to remember is that if you multiply or divide by a negative number, you must reverse the order of the inequality, i.e. less than or equal becomes greater than or equal.
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