How do you solve $|x-1|+|x+1|=2+x$ ?

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Answer 1 · 2016-05-01T05:13:35

$x=-4, -2/3, 0 and 2$

$|(a+b|$ is the combined expression for the pair $+-(a+b)$ .

So, the given equation is ta single combined equation for the foue separate equations

$+-(x-1)+-(x+1)=x+2$ .

Writing each equation, choosing prefixing signs as $(+ +). (+ -), (- +) and (- -)$ , and solve. The solutions in this order are

. $x=2, -4, 0 and -2/3$ .

How do you solve |x-1|+|x+1|=2+x|x-1|+|x+1|=2+x?