Answer
The solution to the given inequality is $(-\infty, \frac{3}{2})$.
Refer to the attached image for the graph.
Work Step by Step
Multiply the LCD 8 to oth sides to have:
$8(\frac{1}{4}x) \le 8(\frac{3}{8})
\\\frac{8}{4}x \le \frac{24}{8}
\\2x \le 3
\\x \le \frac{3}{2}$