Question

Solve for x. $\frac{x}{2}-5\le \frac{x}{3}-4$

• A. $x\le 6$
• B. $x<6$
• C. $x=6$
• D. $1\le x\le 6$

Answer 1

The correct option is A $x\le 6$

$\frac{x}{2}-5\le \frac{x}{3}-4$ $⟹$ $\frac{x-10}{2}\le \frac{x-12}{3}$ $⟹$ $3x-30\le 2x-24$ $⟹$ $x\le 6$