How do you solve the equation $4 - | x | = 3$ $4-absx=3$ ?

Question

1513 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-02-26T08:46:25

$x = 1, –1$

Start by subtracting 4 from both sides to get:

$– |x| = –1$

Multiply both sides by –1

$|x| = 1$

Eliminate the absolute value to get the solutions

$x = 1 and –x = 1$

divide the second equation by $–1$ to get the second solution: $x = –1$

How do you solve the equation 4-absx=34−|x|=34-absx=3?