Question

Solution set of $\frac{3x-4}{2}\ge \frac{x+1}{4}-1$ is

• A. $(1,\infty )$
• B. $[1,\infty )$
• C. $(-\infty ,1)$
• D. $(-\infty ,1]$

Answer 1

The correct option is B $[1,\infty )$

$\frac{3x-4}{2}\ge \frac{x+1}{4}-1$
$\Rightarrow 12x-16\ge 2x-6$
$\Rightarrow 10x\ge 10$
$\Rightarrow x\ge 1$