# How do you solve the equation abs(x-4)=x-5?

Apr 26, 2017

$x \in \setminus \emptyset$

#### Explanation:

$| a | = b \setminus R i g h t a r r o w a = b \mathmr{and} a = - b$

$x - 4 = x - 5 \mathmr{and} x - 4 = - x + 5$

$0 x = - 1 \mathmr{and} 2 x = 9$

$| 4.5 - 4 | = 4.5 - 5$