Step-by-step explanation:
Isolate the variable, q. Remember to follow PEMDAS.
First, distribute -2 to all terms within the parenthesis:
-2(q - 22) = (-2)(q) + (-2)(-22) = -2q + 44
q + 12 - 2q + 44 > 0
Simplify. Combine like terms.
q - 2q + 12 + 44 > 0
-q + 56 > 0
Isolate the variable, q. First, subtract 56 to both sides.
-q + 56 (-56) > 0 (-56)
-q > - 56
Isolate the variable q. Divide -1 from both sides. Note that when dividing a negative number, you must flip the sign.
(-q)/-1 > (-56)/-1
q < 56
q < 56 is your answer.
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