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Popular >

4x+5<x^2

Solution

4 x + 5 < x^{2}

Solution

x < - 1 or x > 5

+1

Interval Notation

(- \infty, - 1) \cup (5, \infty)

Solution steps

4 x + 5 < x^{2}

Rewrite in standard form

4 x + 5 - x^{2} < 0

Factor

4 x + 5 - x^{2} : - (x + 1) (x - 5)

- (x + 1) (x - 5) < 0

Multiply both sides by

- 1

(reverse the inequality)

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

Simplify

(x + 1) (x - 5) > 0

Identify the intervals

x < - 1 or x > 5

Popular Examples

simplify (9/20 d^5)(2d^{-2})(4/3 d^9)simplify

(\frac{9}{20} d^{5}) (2 d^{- 2}) (\frac{4}{3} d^{9})

simplify 0.5^{0.5}simplify

0. 5^{0.5}

simplify (-3+i)(-3-i)simplify

(- 3 + i) (- 3 - i)

3 x^{2} - 3 = 0

\frac{1}{3} x = - \frac{4}{5}

Frequently Asked Questions (FAQ)

What is 4x+5<x^2 ?
The solution to 4x+5<x^2 is x<-1\lor x>5