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Popular >

-x^2+8x-15<0

Solution

- x^{2} + 8 x - 15 < 0

Solution

x < 3 or x > 5

+1

Interval Notation

(- \infty, 3) \cup (5, \infty)

Solution steps

- x^{2} + 8 x - 15 < 0

Factor

- x^{2} + 8 x - 15 : - (x - 3) (x - 5)

- (x - 3) (x - 5) < 0

Multiply both sides by

- 1

(reverse the inequality)

(- (x - 3) (x - 5)) (- 1) > 0 \cdot (- 1)

Simplify

(x - 3) (x - 5) > 0

Identify the intervals

x < 3 or x > 5

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\frac{1}{\frac{1}{2}}

∣ x - 2 ∣ > 3

Frequently Asked Questions (FAQ)

What is -x^2+8x-15<0 ?
The solution to -x^2+8x-15<0 is x<3\lor x>5