Question

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

Answer 1

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)