SOLUTION: Solve the inquality 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 inquality 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 788786: Solve the inquality 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!
intervals of interest:
(-oo,-2) , (-2, 2), (2,4), and (4, oo), why?

Testing...
if x=-3 then -7/5 is less than 0
if x=0 then -4/-4 is not less than 0
if x=3 then -1/5 is less than 0
if x=5 then 1/21 is not less than 0
so the solutions is
(-oo,-2) U (2,4)