To represent the inequality \( 3m + 14 \leq -12 \), you can rearrange it to isolate \( m \):
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Start with the original inequality: \[ 3m + 14 \leq -12 \]
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Subtract 14 from both sides: \[ 3m \leq -12 - 14 \] \[ 3m \leq -26 \]
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Divide both sides by 3 (note that since 3 is positive, the direction of the inequality does not change): \[ m \leq -\frac{26}{3} \]
Thus, the statement that could represent the inequality is: \[ m \leq -\frac{26}{3} \]