Which statement could represent the inequality 3m+14≤−12 ?(1 point)

1 answer

To represent the inequality \( 3m + 14 \leq -12 \), you can rearrange it to isolate \( m \):

  1. Start with the original inequality: \[ 3m + 14 \leq -12 \]

  2. Subtract 14 from both sides: \[ 3m \leq -12 - 14 \] \[ 3m \leq -26 \]

  3. 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: \[ m \leq -\frac{26}{3} \]