Question

If $f\left(x\right)=\{\begin{array}{cc}x& \text{for}-3<x\le -1\\ \left|x\right|& \text{for}-1<x<1\\ \left|x\right|& \text{for}x\ge 1\end{array}$

then find $\{x:f(x)\ge 0\}.$

• A. $(-1,\infty )$
• B. $[-1,3)$
• C. $(-1,3]$
• D. $[-1,3]$

Answer 1

The correct option is A $(-1,\infty )$

From given $f\left(x\right)=|x|>0$ for $x\in (-1,\infty )$
Ans: A