SOLUTION: Solve the polynomial inequality. Express the solution set in interval notation. -x-6/x+5 is less than or equal to 0.... Please help!!!!!!!!!!!!!!!!!!!!!!!!!!

Question 1018975: Solve the polynomial inequality. Express the solution set in interval notation.
-x-6/x+5 is less than or equal to 0....
Please help!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
Do you mean, (-x-6)/(x+5)<=0 ?

Identify the critical values for x.
They are what will make numerator or denominator become 0.
-

and

.
x must not become -5, but this is still a critical x value.
-
Examine the intervals which these critical values form.
, , .
Pick any value in each interval and test to see which intervals satisfy the inequality and which do not satisfy the inequality.

Checking Each Interval:
-

TRUE
-

FALSE
-

TRUE
-
Interpret those results, and form your solution to the inequality.
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