# How do you solve and graph abs(x+8)<16?

##### 1 Answer
May 1, 2017

since there is a modulus, it shows that the equation can either be negative or positive; hence we will get 2 answers

#### Explanation:

write out the 2 equations that are possible
$x + 8 < 16$ and $- x - 8 < 16$
from the first equation we get $x < 8$ and from the second we would get $- x < 24$ which would become $x > 24$

thus, the solution from the graph should be when x is larger than 24 and when x is smaller than 8

For graphing, i would graph $y = 16$ and $y = x + 8$ ( remember to reflect the negative portion of the second graph about the x axis)