How do you solve #|- 9+ 3n | - 1> 8#?

1 Answer
Sep 30, 2016

Solution: #n<0 or n>6# ; In interval notation: #(-oo, 0) uu (6,oo)#

Explanation:

1) #|-9+3n| -1 >8 or |-9+3n| >9 or -9+3n > 9 or 3n > 18 or n>6 # OR

2) #|-9+3n| -1 >8 or |-9+3n| >9 or -9+3n < -9 or 3n < 0 or n <0 #

Solution: #n<0 or n>6# ; In interval notation: #(-oo, 0) uu (6,oo)#[Ans]