SOLUTION: Could someone please help me to understand how to solve this type of problem? I just cannot seem to get it. Solve each rational inequality and state the solution set using interv

Algebra ->  Inequalities -> SOLUTION: Could someone please help me to understand how to solve this type of problem? I just cannot seem to get it. Solve each rational inequality and state the solution set using interv      Log On


   



Question 40619: Could someone please help me to understand how to solve this type of problem? I just cannot seem to get it.
Solve each rational inequality and state the solution set using interval notation.


a__
a + 2 >0
(I can't get it to post correctly, a is over a + 2 and both together are suppose to be >0)


Answer by junior403(76) About Me  (Show Source):
You can put this solution on YOUR website!
Solve each rational inequality and state the solution set using interval notation.
%28a%29+%2F+%28a%2B2%29+%3E+0
First we need to eliminate the fraction %28a%29+%2F+%28a%2B2%29 by multiplying both sides of the equation by the denominator (a + 2).
%28a%2B2%29%2A+%28%28a%29+%2F+%28a%2B2%29%29+%3E+0%28a%2B2%29
The a + 2 cancels out on one side and the 0(a+2) = 0, so now we have...
a+%3E+0
This tells us that (a) is equal to all real numbers greater than zero.
So our solution set in interval notation is...
(0,~) or (0, infinity)
I hope this helps.
Good Luck!