How do you solve and write the following in interval notation: #|x + 5|> 18#?

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Answer 1 · 2017-08-30T22:27:19

Given: #|x + 5|> 18#

Separate into two inequalities:

#x + 5 > 18# and #-(x+5)>18#

Multiply the both sides of the second inequality by -1:

#x + 5 > 18# and #x+5 < -18#

Subtract 5 from both sides of both inequalities:

#x > 13# and #x < -23#

Interval notation:

#(-oo, -23)# and #(13, oo)#