SOLUTION: Solve the inequality. (c+4)(c-2)(c-7)>0

Question 201321: Solve the inequality.
(c+4)(c-2)(c-7)>0
Answer by RAY100(1637) (Show Source): You can put this solution on YOUR website!
(c+4)(c-2)(c-7) > 0
.
lets solve as equality first
.
(c+4)(c-2)(c-7) =0
.
c+4=0,,,,c=-4
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c-2=0,,,,c=2
.
c-7=0,,,,c=7
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in order,,,,,-4,,,,2,,,,,,7
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now lets check numbers before and after each of these against original inequality
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for x less than (-4),,, let x=-5,,, -84 >0,,,, not true
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for -4 less than x less than 2,,,let x=0,,,,,56>0,,,,,ok
.
for 2 less than x less than 7,,,,,let x= 3,,,,,-28>0,,,, not true
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for x>7,,,,,let x = 8,,,,,72>0,,,ok
.
therefore ,,,,-4less than x less than 2,,,,x>7,,,are answers

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