How do you solve (x+8)(x−10)(x+6)>0?

1 Answer
Binayaka C.
Oct 11, 2017

Solution: x<−8and−6<x<10or(−∞,−8)∪(−6,10)

Explanation:

(x+8)(x−10)(x+6)>0. Critical points are

x=−8,x=−6,x=10

Sign chart:

When x<−8 sign of (x+8)(x−10)(x+6) is (−)⋅(−)⋅(−)=(−);<0

When −8<x<−6 sign of (x+8)(x−10)(x+6) is (+)⋅(−)⋅(−)=(+);>0

When −6<x<10 sign of (x+8)(x−10)(x+6) is (+)⋅(−)⋅(+)=(−);<0

When x>10 sign of (x+8)(x−10)(x+6) is (+)⋅(+)⋅(+)=(+);>0

Solution: x<−8and−6<x<10or(−∞,−8)∪(−6,10)

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