To solve the inequality, we will simplify the expression first.
q + 12 - 2(q - 22) > 0
Distribute the -2 to both terms inside the parentheses:
q + 12 - 2q + 44 > 0
Combine like terms:
-q + 56 > 0
Now, isolate q by subtracting 56 from both sides:
-q > -56
Remember that when we flip the inequality sign, we must also flip the inequality sign:
q < 56
Therefore, the solution to the inequality is q < 56.
Solve.
q+12−2(q−22)>0
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