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Popular >

-x^2-x+2<= 0

Solution

- x^{2} - x + 2 \leq 0

Solution

x \leq - 2 or x \geq 1

+1

Interval Notation

(- \infty, - 2] \cup [1, \infty)

Solution steps

- x^{2} - x + 2 \leq 0

Factor

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

- (x - 1) (x + 2) \leq 0

Multiply both sides by

- 1

(reverse the inequality)

(- (x - 1) (x + 2)) (- 1) \geq 0 \cdot (- 1)

Simplify

(x - 1) (x + 2) \geq 0

Identify the intervals

x \leq - 2 or x \geq 1

Popular Examples

∣ 5 - 2 x ∣ \geq 1

y^{2} + 4 y + 8 = 0

4 x^{2} - 2 x - 7 = 0

factor x^2-23x+22 factor

x^{2} - 23 x + 22

0=0.012x^2-0.593x-14.275

0 = 0.012 x^{2} - 0.593 x - 14.275

Frequently Asked Questions (FAQ)

What is -x^2-x+2<= 0 ?
The solution to -x^2-x+2<= 0 is x<=-2\lor x>= 1