Chanank7emilli Chanank7emilli

17-07-2016
Mathematics

contestada

if x > 0, then |x| > 0

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jason2020158 jason2020158

17-07-2016

True,

The "||" (absolute value) sign represents the distance between the number and 0 (or in simple words, the positive value of the number. The distance between -5 and 0 is 5 (0-(-5)=5), which means |-5| is 5.

Now, if a number is already positive, then the positive value of it doesn't change anything. So the statement of x>0, then |x|>0 is totally true.

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dalendrk dalendrk

17-07-2016

[tex]|a|= \left\{\begin{array}{ccc}a&if&a\geq0\\-a&if&a \ \textless \ 0\end{array}\right\\\\therefore\\\\if\ x \ \textgreater \ 0\ then\ |x| \ \textgreater \ 0\ and\ |x|=x\\\\Always\ |x| \geq 0\ for\ x\in\mathbb{R}-\{0\}.\ If\ x=0\ then\ |x|=0[/tex]

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