SOLUTION: Solve the polynomial inequality and graph the solution set on a number line. Express the solution set in interval notation. (x+3)(x-3)(x-5)<0

Question 543446: Solve the polynomial inequality and graph the solution set on a number line. Express the solution set in interval notation.
(x+3)(x-3)(x-5)<0
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Solve the polynomial inequality and graph the solution set on a number line. Express the solution set in interval notation.
(x+3)(x-3)(x-5)<0
**
Number line
<....-...-3.....+......3.....-.....5...+.....>
Explanation for number line:
For x>5, it can easily be seen that the function>0
Moving to the left thru the zeros, sign of the intervals will switch each time we go thru a zero of odd multiplicity like 1, 3, 5, etc. Zeros of given problem are all of multiplicity 1. Most teachers use a chart to show this, but I have found this to be a faster and simpler way.
..
In interval notation:
solution: (-∞,-3) U (3, 5)
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