Question 201321
(c+4)(c-2)(c-7) > 0
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lets  solve  as  equality  first
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(c+4)(c-2)(c-7) =0
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c+4=0,,,,c=-4
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c-2=0,,,,c=2
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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 
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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
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therefore ,,,,-4less  than x less than 2,,,,x>7,,,are  answers