SOLUTION: solve the polynomial inequality and graph the solution set on a real number line. Express the solution set in interval notation (x-3) (x+9) > 0

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Question 402021: solve the polynomial inequality and graph the solution set on a real number line. Express the solution set in interval notation (x-3) (x+9) > 0
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
The critical numbers of the inequality are -9 and 3.
At the interval (-infinity, -9), %28x-3%29%28x%2B9%29+%3E+0 (Using the test number x = -10).
At the interval ( -9,3), %28x-3%29%28x%2B9%29+%3C+0 (Using the test number x = 0).
At the interval (3, infinity), %28x-3%29%28x%2B9%29+%3E+0 (Using the test number x = 4).
The critical numbers themselves are NOT part of the solution set.
Therefore the solution set is (-infinity, -9)U (3, infinity).