SOLUTION: Hello, I solved the following compound inequality, but I do not understand what the union symbol means in the interval notation at the bottom. 4n+8<3n-6 or 10n-8≥9+9n n<-14

Algebra ->  Inequalities -> SOLUTION: Hello, I solved the following compound inequality, but I do not understand what the union symbol means in the interval notation at the bottom. 4n+8<3n-6 or 10n-8≥9+9n n<-14      Log On


   

Question 1147112: Hello, I solved the following compound inequality, but I do not understand what the union symbol means in the interval notation at the bottom.
4n+8<3n-6 or 10n-8≥9+9n
n<-14 or n >= 17
n=( - ∞,-14)∪[17,∞)
Found 2 solutions by ikleyn, Theo:
Answer by ikleyn(52810) About Me  (Show Source):
You can put this solution on YOUR website!
.

The union symbol at the bottom means the union of the two sets, of the two semi-infinite intervals.


Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
thaat's the union symbol which basically means the same as or
you can read that as (-infinity, -14) or {17, infinity)
here's a reference for you.
https://saylordotorg.github.io/text_elementary-algebra/s05-07-introduction-to-inequalities-a.html