Solve the inequality.

Question

2/5m−7≤17
(1 point)
Responses

m≤ 5/2
m is less than or equal to 5 halves

m≤24
m is less than or equal to 24

m≤60
m is less than or equal to 60

m≥60

Answer 1

To solve the inequality \( \frac{2}{5}m - 7 \leq 17 \), follow these steps:

1. Add 7 to both sides: \[ \frac{2}{5}m - 7 + 7 \leq 17 + 7 \] Simplifying gives: \[ \frac{2}{5}m \leq 24 \]

2. Multiply both sides by \( \frac{5}{2} \) (the reciprocal of \( \frac{2}{5} \)): \[ m \leq 24 \cdot \frac{5}{2} \] Calculate \( 24 \cdot \frac{5}{2} \): \[ 24 \cdot \frac{5}{2} = 24 \cdot 2.5 = 60 \]

Thus, the solution to the inequality is: \[ m \leq 60 \]

So the correct response is: m ≤ 60.