Vexing X'ing
Algebra
Level
3
For what values of x is |x-2| + |x-3| -3 negative?
0 < x < 3
2 < x < 3
1 < x < 2
1< x < 4
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|x - 2| = 0 for x = 2, and increasing linearly on both sides.
|x - 3| = 0 for x = 3, and increasing linearly on both sides.
So |x - 2| + |x -3| = 1 for x's between 2 and 3, and increasing by 2 on either side. It reaches 3 at x= 1 and x = 4.