To solve the inequality \( \frac{q}{2} - 80 < -74 \), follow these steps:
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Add 80 to both sides to isolate the term with \( q \): \[ \frac{q}{2} - 80 + 80 < -74 + 80 \] Simplifying this gives: \[ \frac{q}{2} < 6 \]
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Multiply both sides by 2 to solve for \( q \): \[ q < 12 \]
Thus, the solution to the inequality is: \[ q < 12 \]