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Andrew [12]
2 years ago
9

Determine whether each statement is always, sometimes, or never true. Explain your reasoning. (By the way, this has to do with a

bsolute value) PLEASE HELP AND THANKS!
a. |x|= |-x|

b. |x|= -|x|

c. |-x|= -|x|
Mathematics
2 answers:
Mama L [17]2 years ago
8 0
A is always
From what I have B and C are never because one will always end up negative while the other is positive. 

Norma-Jean [14]2 years ago
6 0
A).  |x| = |-x|
This is always true.
The definition of 'absolute' value is 'size of the number without its sign'.
That's what this expression says.

b).  |x| = -|x|
This is never true, because an absolute value is never negative.
This one would true if x=0 .  So maybe some people might say
it's sometimes true, but that doesn't feel right to me.  I say never.

c).  |-x| = -|x|
This looks to me like exactly the same situation as (b),
and I would say all the same things about it.
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