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Popular >

2x+15<x^2

Solution

2 x + 15 < x^{2}

Solution

x < - 3 or x > 5

+1

Interval Notation

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

Solution steps

2 x + 15 < x^{2}

Rewrite in standard form

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

Factor

2 x + 15 - x^{2} : - (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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∣ 16 x ∣ = 16

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t^{- \frac{3}{4}}

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Frequently Asked Questions (FAQ)

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