Question

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

Answer 1

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