Let's solve the inequality step by step:
q + 12 - 2(q - 22) > 0
q + 12 - 2q + 44 > 0 (Distribute -2 to q and 22 inside the parentheses)
-q + 56 > 0 (Combine like terms)
56 - q > 0 (Rearrange the terms)
Now, we can solve for q by isolating it.
q > 56 (Subtract 56 from both sides, and flip the inequality)
So the solution to the inequality is q > 56.
solve
q + 12 - 2(q-22) > 0
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