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Popular >

-x^2+7x-12<0

Solution

- x^{2} + 7 x - 12 < 0

Solution

x < 3 or x > 4

+1

Interval Notation

(- \infty, 3) \cup (4, \infty)

Solution steps

- x^{2} + 7 x - 12 < 0

Factor

- x^{2} + 7 x - 12 : - (x - 3) (x - 4)

- (x - 3) (x - 4) < 0

Multiply both sides by

- 1

(reverse the inequality)

(- (x - 3) (x - 4)) (- 1) > 0 \cdot (- 1)

Simplify

(x - 3) (x - 4) > 0

Identify the intervals

x < 3 or x > 4

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Frequently Asked Questions (FAQ)

What is -x^2+7x-12<0 ?
The solution to -x^2+7x-12<0 is x<3\lor x>4