SOLUTION: Solve the inequality algebraically. Express the solution using interval notation and graph the solution set on the real number line. {{{(x-4)/(x^2-4)<=0}}}

Algebra ->  Inequalities -> SOLUTION: Solve the inequality algebraically. Express the solution using interval notation and graph the solution set on the real number line. {{{(x-4)/(x^2-4)<=0}}}      Log On


   

Question 816306: Solve the inequality algebraically. Express the solution using interval notation and graph the solution set on the real number line.
%28x-4%29%2F%28x%5E2-4%29%3C=0
Answer by tommyt3rd(5050) About Me  (Show Source):
You can put this solution on YOUR website!
values of interest:
x=4, x=-2, x=2
Test:
x=-3 leads to
-7/5 <= 0 True
x=0 leads to
-4/-4=1 < = 0 False
x=3 leads to
-1/5 <=0 True
x=5 leads to
1/21 <= 0 False

solution:
(-oo,-2) U (2, 4]