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Mathematics 15 Online
OpenStudy (mathmath333):

true or false

OpenStudy (mathmath333):

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

OpenStudy (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.

OpenStudy (mathmath333):

@peachpi

OpenStudy (mathmath333):

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

OpenStudy (anonymous):

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

OpenStudy (anonymous):

-(-1) = 1

OpenStudy (mathmath333):

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

OpenStudy (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.

OpenStudy (mathmath333):

ok and it is true ?

OpenStudy (anonymous):

yes

OpenStudy (mathmath333):

ok thnk u :)

OpenStudy (anonymous):

you're welcome

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