Question

Solution of $2x - 1 = | x + 7|$ is

• A. $-2$
• B. $8$
• C. $-2\,8$
• D. None of these

Answer 1

Answer: (B)

$8$

Answer 2

$2x - 1 = |x + 7|$ = \begin{cases} x + 7 ,& \text{ifx \ge -7} \\\[2ex] -(x + 7) ,& \text{ifx < -7 } \end{cases} $\therefore\quad$ If $x \ge - 7$, $2 x - 1 = x + 7 \Rightarrow x= 8$ If $x < \- 7$, $2x - 1 = - \left(x + 7\right) \Rightarrow 3x = - 6$ $\Rightarrow\quad x = - 2$, Not possible.