## mathmath333 one year ago true or false

1. mathmath333

.\large \color{black}{\begin{align}\text{For } x\in \mathbb{R}\\~\\ \mid x\mid= \begin{cases} x, & x\geq 0 \\ -x, & x<0 \end{cases} \hspace{.33em}\\~\\ \end{align}}

2. anonymous

It is true. If, for example x is equal to -1: $\left| -1 \right| = -1.(-1) = 1$ and if x is positive, it is already positive.

3. mathmath333

@peachpi

4. mathmath333

how can |x|=-x for x<0

5. anonymous

If x < 0, then x is negative. -x returns a positive value

6. anonymous

-(-1) = 1

7. mathmath333

how do i read this \large \color{black}{\begin{align}\mid x\mid= \begin{cases} x, & x\geq 0 \\ -x, & x<0 \end{cases} \hspace{.33em}\\~\\ \end{align}}

8. anonymous

the absolute value of x is equal to x for x greater than or equal to 0 and is equal to negative x for x less than 0.

9. mathmath333

ok and it is true ?

10. anonymous

yes

11. mathmath333

ok thnk u :)

12. anonymous

you're welcome