Monday, May 25, 2015

Find the solution set for the absolute value equation.

Find the solution set for the equation.
|x  - 7| = | 8 - x|





|x  - 7| = | 8 - x| 

means


x  - 7 =  8 - x  or   x - 7 = -8 + x (which has no solution)


we we can write

x + x - 7 - 8 = -x + x
2x -15 = 0
2x = 15

x = 15/2

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