Question

Number of integral solution of $2x-1=\left|x+7\right|$ is

Answer 1

Answer: 0

$2x-1=\left|x+7\right|=$
$f(n)=\{\begin{array}{ll}x+7,& \text{if x≥−7 }\\ -\left(x+7\right),& \text{if x < -7}\end{array}$
$\therefore$ If $x\ge -7,2x-1=x+7$
$\Rightarrow x=8$
If $x<-7,2x-1=-\left(x+7\right)$
$\Rightarrow 3x=-6$
$\Rightarrow x=-2$ which is not possible