How do you solve #|z | - 9> - 5#?

1 Answer
Gazza
Sep 21, 2017

#z>4 or z<-4#

Explanation:

#|z| - 9> -5#
Let start by adding #9# to both sides
#|z| - 9 + 9 > - 5+9#
#|z| > 4#
Then, solve the absolute value
#|z|>4#
We know either #z >4 or z <-4#.

#z > 4# (Possibility one)
#z<-4# (possibility two)

Hence,

#z>4 or z<-4#

Related questions
Impact of this question
558 views around the world
You can reuse this answer
Creative Commons License