Question

Determine the solution to the inequality.

4m−2≤14


(1 point)
Responses

m≤3
m is less than or equal to 3

m≤7
m is less than or equal to 7

m≤4
m is less than or equal to 4

m≤5

Answer 1

To solve the inequality \(4m - 2 \leq 14\), we can follow these steps:

1. Add 2 to both sides of the inequality:
\[
4m - 2 + 2 \leq 14 + 2
\]
This simplifies to:
\[
4m \leq 16
\]

2. Next, divide both sides by 4:
\[
\frac{4m}{4} \leq \frac{16}{4}
\]
This simplifies to:
\[
m \leq 4
\]

Thus, the solution to the inequality is:
\[
m \leq 4
\]

The correct response is:
**m ≤ 4**