# How do you solve #(x+5)^2 /( x^2-4 )>=0#?

##### 1 Answer

Dec 2, 2015

Solve

Ans: Open intervals: (-inf, -2) and (2, +inf)

#### Explanation:

This function is undefined when

Solve this inequality algebraically by using a sign chart.

Call

Call

g(x) < 0 between (-2) and (2).

Sign Chart. of

Sign of F(x) is the resultant sign of f(x) and g(x).

F(x) is positive in interval (-inf, -2) and F(x) > 0 inside (2, +inf).

Ans: Open Intervals: (-inf, -2) and (2, +inf).