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

Answer 1

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

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

2. Multiply both sides by \( \frac{5}{2} \) to eliminate the fraction: \[ x \leq 2 \times \frac{5}{2} \] This simplifies to: \[ x \leq 5 \]

So the solution to the inequality \( \frac{2}{5}x + 2 \leq 4 \) is: \[ x \leq 5 \]