104k views
2 votes
Simplify |x| - |-x|.

1 Answer

4 votes

Answer:

0

Explanation:

Two cases: if
x\ge0


|x| - |-x| = x - x= 0

Instead if
x<0


|x| -|-x| = -x -(-x)=-x+x=0

Alternatively you can try to graph both
f(x) = |x|; g(x)=|-x| and checking the vertical distance between the two graphs

User Dhoelzgen
by
5.0k points