Determine the solution to the inequality.

Question

4m−2≤14


(1 point)
Responses

m≤4
m is less than or equal to 4

m≤5
m is less than or equal to 5

m≤3
m is less than or equal to 3

m≤7

Answer 1

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

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

2. Divide both sides by 4: \[ m \leq \frac{16}{4} \] This gives: \[ m \leq 4 \]

Thus, the solution to the inequality is \(m \leq 4\).

The correct response is:

• m ≤ 4 (m is less than or equal to 4).