Question

1. y=|x−3|+|x+2|−|x−5|, if x>5
2. y=|x−3|+|x+2|−|x−5|,
if 3

Answer 1

Answer:

A question found on gmatclub that I have a hard time grasping.

I tried applying the "complex absolute value" thingy in the algebra strategy guide, but its still kinda unclear. Anyways, here goes

If y=|x+5|−|x−5|, then y can take how many integer values?

A. 5

B. 10

C. 11

D. 20

E. 21

I get that the midpoints are -5 and 5, but how do I decide on the actual range? I mean, how do I know how far to the right/left the values stretch?

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