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Popular >

-x^2-3x+18<= 0

Solution

- x^{2} - 3 x + 18 \leq 0

Solution

x \leq - 6 or x \geq 3

+1

Interval Notation

(- \infty, - 6] \cup [3, \infty)

Solution steps

- x^{2} - 3 x + 18 \leq 0

Factor

- x^{2} - 3 x + 18 : - (x - 3) (x + 6)

- (x - 3) (x + 6) \leq 0

Multiply both sides by

- 1

(reverse the inequality)

(- (x - 3) (x + 6)) (- 1) \geq 0 \cdot (- 1)

Simplify

(x - 3) (x + 6) \geq 0

Identify the intervals

x \leq - 6 or x \geq 3

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Frequently Asked Questions (FAQ)

What is -x^2-3x+18<= 0 ?
The solution to -x^2-3x+18<= 0 is x<=-6\lor x>= 3