To solve the inequality \( \frac{g}{-2} + 12 > 11 \), follow these steps:
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Subtract 12 from both sides: \[ \frac{g}{-2} > 11 - 12 \] \[ \frac{g}{-2} > -1 \]
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Multiply both sides by -2. Remember that multiplying by a negative number flips the inequality sign: \[ g < -1 \times -2 \] \[ g < 2 \]
Thus, the solution to the inequality is: \[ g < 2 \]