-2(q - 22) + q + 12 > 0
-2(q-22) + q + 12 - 12 > 0 - 12 -2 ( q - 22 ) + q > -12 -q - 44 > - 12 -q + 44 - 44 > -12 - 44 -2q/-2 < - 56/-2 ??
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-2(q - 22) + q + 12 > 0
-2q + 44 + q + 12 > 0
q > -56
Where did the -2 go?
-2q/-2 < 56/-2
-2 multiplied q and 22 = -2 + 44
To solve the inequality -2(q - 22) + q + 12 > 0, we can follow these steps:
1. Distribute the -2 across the terms inside the parentheses:
-2(q - 22) + q + 12 = -2q + 44 + q + 12 = -q + 56
2. Combine like terms:
-q + 56 + 12 > 0
-q + 68 > 0
3. Subtract 68 from both sides to isolate the variable:
-q > -68
4. Divide both sides by -1, remembering to reverse the inequality sign because we are dividing by a negative number:
q < 68
So the solution to the inequality is q < 68.