Which of the following correctly solves the linear inequality 2/5 x+2≤4

Question

?(1 point)
Responses

x≤5
x less-than-or-equal-to 5

x≤8
x less-than-or-equal-to 8

x≥3
x greater-than-or-equal-to 3

x≥8
x greater-than-or-equal-to 8

Answer 1

To solve the inequality \( \frac{2}{5} x + 2 \leq 4 \), follow these steps:

1. Subtract 2 from both sides: \[ \frac{2}{5} x \leq 4 - 2 \] \[ \frac{2}{5} x \leq 2 \]

2. Multiply both sides by \( \frac{5}{2} \) to isolate \( x \): \[ x \leq 2 \cdot \frac{5}{2} \] \[ x \leq 5 \]

So, the solution to the inequality is \( x \leq 5 \).

The correct response is: x≤5 x less-than-or-equal-to 5