Let's solve the inequality step by step:
First, distribute the -2 to the terms inside the parentheses:
q + 12 - 2(q - 22) > 0
q + 12 - 2q + 44 > 0
Next, combine like terms:
-q + 56 > 0
To isolate q, subtract 56 from both sides:
-q > -56
Finally, divide both sides by -1, making sure to flip the inequality sign:
q < 56
Therefore, the solution to the inequality q + 12 - 2(q - 22) > 0 is q < 56.
q + 12 - 2 (q - 22) > 0
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