To solve the inequality, we need to simplify the expression first.
Using the distributive property, we have:
q + 12 - 2(q - 22) > 0
q + 12 - 2q + 44 > 0
Combine like terms:
-q + 56 > 0
Now, let's solve for q:
-q > -56
Divide both sides by -1, remembering to flip the inequality sign:
q < 56
Therefore, the solution to the inequality q + 12 - 2(q - 22) > 0 is q < 56.
Solve q + 12 - 2 (q - 22) > 0
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