To solve the inequality \( 92 \geq \frac{m}{-5} + 88 \), we will first isolate \( \frac{m}{-5} \) on one side.
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Subtract 88 from both sides: \[ 92 - 88 \geq \frac{m}{-5} \] \[ 4 \geq \frac{m}{-5} \]
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To eliminate the fraction, multiply both sides of the inequality by \(-5\). Remember that multiplying or dividing by a negative number reverses the inequality sign: \[ 4 \cdot (-5) \leq m \] \[ -20 \leq m \] or equivalently, \[ m \geq -20 \]
Therefore, the solution is: \[ m \geq -20 \]