Equations And Inequalities Question 30
Question: Solution of $ 2x-1=| x+7 | $ is
Options:
A) -2
B) 8
C) -2, 8
D) None of these
Show Answer
Answer:
Correct Answer: B
Solution:
- [b] $ 2x-1=| x+7 |= \begin{matrix} x+7,,ifx\ge -7 \\ -(x+7),ifx<-7 \\ \end{matrix} . $
$ \therefore ,If,x\ge -7,2x-1=x+7\Rightarrow x=8 $ If $ x<-7,2x-1=-(x+7) $
$ \Rightarrow 3x=-6\Rightarrow x=-2, $ which is not possible.
BETA
