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O POLYNOMIAL AND RATIONAL FUNCTIONSSolving a quadratic inequalityGraph the solution to the following inequality on the number line.2 6xXNote that you can use the ALEKS graphing calculator to help get your answer.+-10 -9 -8 -7 -6 -5 -4 -3 -2 -101234678 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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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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check_circleAnswer
Step 1

The given inequality is

х? < бх
or
x? - бх <0
x (х - 6) <0
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х? < бх or x? - бх <0 x (х - 6) <0

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Step 2

Case (1): From above inequality, one of them is negative and other one is positive. Suppose

x 0 and (x 6)>0
x 0 and x6
Solution not possible
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x 0 and (x 6)>0 x 0 and x6 Solution not possible

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Step 3

Case (2)...

x 0 and (x6) <0
x >0 and x < 6
xE (0,6)
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x 0 and (x6) <0 x >0 and x < 6 xE (0,6)

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