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

1 Answer
May 1, 2017

Answer:

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)