# How do you solve |x – 4| + 7 = 4?

Apr 7, 2017

This cannot be solved because it implies that the absolute value function must return a negative number. $| x - 4 | = - 3$; this is impossible.

Apr 7, 2017

for $| x - 4 | > 0$
so $x > 4$
$\implies | x - 4 | + 7 = 4$
$\implies | x - 4 | \ne - 3$