Rewrite without absolute value sign for different values of x.

Mathematics

1 answer:

Aliun [14]3 years ago

8 0

y= |−2x+5|-|2x−5|

if x<−2.5, then 2x-5 is negative and -2x+5 is positive

So, y = -2x+5 - -(2x-5) = -2x+5+2x-5 = 0

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if x>2.5, then -2x+5 is negative and 2x-5 is positive

So y = -(-2x+5) - (2x-5) = 2x-5-2x+5 = 0

if −2.5≤x≤2.5 then y = 5-5 = 0

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Simpler solution::

Rewrite your problem as::

y = |-(2x-5)|-|(2x-5)]

Since |a| = |-a|, y = 0

Please mark me for the Brainliest !

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