3x/2 <= 4

To solve the inequality \( \frac{3x}{2} \leq 4 \), follow these steps:

1. Multiply both sides by 2 to eliminate the fraction:
\[
3x \leq 8
\]

2. Divide both sides by 3:
\[
x \leq \frac{8}{3}
\]

So, the solution to the inequality is:
\[
x \leq \frac{8}{3}
\]

In interval notation, this can be expressed as:
\[
(-\infty, \frac{8}{3}]
\]