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Popular >

-x^2-9x-14<0

Solution

- x^{2} - 9 x - 14 < 0

Solution

x < - 7 or x > - 2

+1

Interval Notation

(- \infty, - 7) \cup (- 2, \infty)

Solution steps

- x^{2} - 9 x - 14 < 0

Factor

- x^{2} - 9 x - 14 : - (x + 2) (x + 7)

- (x + 2) (x + 7) < 0

Multiply both sides by

- 1

(reverse the inequality)

(- (x + 2) (x + 7)) (- 1) > 0 \cdot (- 1)

Simplify

(x + 2) (x + 7) > 0

Identify the intervals

x < - 7 or x > - 2

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Frequently Asked Questions (FAQ)

What is -x^2-9x-14<0 ?
The solution to -x^2-9x-14<0 is x<-7\lor x>-2