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
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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.
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In interval notation:
solution: (-∞,-3) U (3, 5)
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