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Popular >

6+x<x^2

Solution

6 + x < x^{2}

Solution

x < - 2 or x > 3

+1

Interval Notation

(- \infty, - 2) \cup (3, \infty)

Solution steps

6 + x < x^{2}

Rewrite in standard form

6 + x - x^{2} < 0

Factor

6 + x - x^{2} : - (x + 2) (x - 3)

- (x + 2) (x - 3) < 0

Multiply both sides by

- 1

(reverse the inequality)

(- (x + 2) (x - 3)) (- 1) > 0 \cdot (- 1)

Simplify

(x + 2) (x - 3) > 0

Identify the intervals

x < - 2 or x > 3

Popular Examples

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\frac{3}{( x - 3 )} < \frac{2}{( x - 2 )}

4x(1-x^2)(x^2-5x+6)>0

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3(x+2)^2-2(3x-1)^2-3x(x+4)>-38

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((x+1))/((x-1))>= ((x+5))/((x+1))

\frac{( x + 1 )}{( x - 1 )} \geq \frac{( x + 5 )}{( x + 1 )}

Frequently Asked Questions (FAQ)

What is 6+x<x^2 ?
The solution to 6+x<x^2 is x<-2\lor x>3