Determine the solution to the inequality.

Question

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