Question

SOLVE MOD(X+1)-MOD(X-1)=2
ANSWER IS X IS GREATER THAN OR EQUAL TO 1

Answer 1

$|x + 1| - |x - 1| = 2 \\ |x + 1| = 2 + |x - 1| \\ squaring \: \: both \: \: sides \\ {|x + 1| }^{2} = {(2 + |x - 1| )}^{2} \\ {x}^{2} + 2x + 1 = 4 + 4 |x - 1| + {x}^{2} - 2x + 1 \\ 4x = 4 + 4 |x - 1| \\ x = 1 + |x - 1| \\ x - 1 = |x - 1| \\ therefore \\ x - 1 \geqslant 0 \\ x \geqslant 1$

Answer 2

Heyyy

See the pic attached....