How do you solve |x-8|=|2-x|-6 |x8|=|2x|6?

1 Answer
Sep 27, 2016

Every x >= 8x8.

Explanation:

Consider the cases #(i) x<=2 (ii) x >=2 and x<= 8 and (iii x >= 8.

Case (i): the equation becomes 8-x=2-x - 6 to 8=-48x=2x68=4. So, cross it.

Likewise,

Case (ii) :8-x=x-2-6 to x=88x=x26x=8

Case (ii): x-8=x-2-6 to 8 = 8. So, every x8=x268=8.So,everyx>=2 is a solution.

And so, altogether, x>=8x8.. , ,