Question

The values of $x$ for which $-11\le 4x-3\le 13$ is

• A. $-4\le x\le 5$
• B. $-2\le x\le 4$
• C. $-8\le x\le 16$
• D. $-11\le x\le 10$

Answer 1

Answer: (B)

$-2\le x\le 4$

Answer 2

Given inequality is
$-11\le 4x-3\le 13$
$\Rightarrow$ $3-11\,\,\le \,4x\le 13+3$
$\Rightarrow$ $-8\le 4x\le 16\,\,\,\Rightarrow \,\,\,-2\le x\le 4$
$\therefore$ $x\,\in [-2,\,4]$