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Question

In the given problem, solve and graph.
Express answers in both inequality and interval notaion.
x34x2+3x

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Solution



x34x2+3x

x34x23x0

x(x24x3)0

x=(4)±(4)241(3)21:2±7

x<27

x=27

27<x<0

x=0

0<x<2+7

x=2+7

x>2+7

x

-

-

-

0

+

+

+

x24x3

+

0

-

-

-

0

+

x(x24x3)

-

0

+

0

-

0

+

x<27,0x2+7

Interval Notation: (,27)(0,2+7)

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