Question

The common solution set of $3x-7<5+x$ and $11-5x\le 1$ is

• A. $(2,6)$
• B. $[2,6]$
• C. $(2,6]$
• D. $[2,6)$

Answer 1

The correct option is D $[2,6)$

$\text{I}$.
$3x–7<5+x$
$\Rightarrow 2x<12$
$\Rightarrow x<6$
$\text{II}$.
$11-5x\le 1$
$\Rightarrow 5x\ge 10$
$\Rightarrow x\ge 2$
$\therefore x\in [2,6)$