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Asked Sep 27, 2019
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O POLYNOMIAL AND RATIONAL FUNCTIONS
Solving a quadratic inequality
Graph the solution to the following inequality on the number line.
2 6x
X
Note that you can use the ALEKS graphing calculator to help get your answer.
+
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1
0
1
2
3
4
6
7
8 9 10
?
X
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O POLYNOMIAL AND RATIONAL FUNCTIONS Solving a quadratic inequality Graph the solution to the following inequality on the number line. 2 6x X Note that you can use the ALEKS graphing calculator to help get your answer. + -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 6 7 8 9 10 ? X

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Expert Answer

Step 1

Given,

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x2 6x

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Step 2

Since, this is quadratic inequality which transform into factors.

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x <6x x-6x<6x-6x {subtract 6xron both side} -6x<0 take xcommon x(x-6) 0

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Step 3

Two factors are x and x-6 and their product is negative.

Which means...

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xx-6)<0 x0 andx-6<0 x>0 and x<6

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