SOLUTION: I need help on three problems. I can solve the inequality, but i cant graph the solution set in interval notation. 1. x(x+4)(x-3)>0 2. (x-2)/(x+5)>0 3.(x+7)(x-3)/(x-1)>0 on probl

Algebra ->  Graphs -> SOLUTION: I need help on three problems. I can solve the inequality, but i cant graph the solution set in interval notation. 1. x(x+4)(x-3)>0 2. (x-2)/(x+5)>0 3.(x+7)(x-3)/(x-1)>0 on probl      Log On


   

Question 383541: I need help on three problems. I can solve the inequality, but i cant graph the solution set in interval notation. 1. x(x+4)(x-3)>0 2. (x-2)/(x+5)>0 3.(x+7)(x-3)/(x-1)>0 on problem 3 >symbol has a line under it. please help
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
I'll do one and then hopefully that should help you with the remaining two.
Graph the function.
Look for the solution regions.
In this case, look for where the function is above the x-axis f%28x%29%3E=0
graph%28300%2C300%2C-5%2C5%2C-20%2C20%2C0%2C%28x%2B4%29%2A%28x%5E2-3x%29%29
Looks like the solution regions are -4%3C=x%3C=0 and x%3E=3.
In interval notation, that would be
[-4,0] U [3,infinity)
.
.
.
The bracket [ is used when the endpoint is part of the solution region.