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Popular >

-x^2-9x-18<=-4

Solution

- x^{2} - 9 x - 18 \leq - 4

Solution

x \leq - 7 or x \geq - 2

+1

Interval Notation

(- \infty, - 7] \cup [- 2, \infty)

Solution steps

- x^{2} - 9 x - 18 \leq - 4

Rewrite in standard form

- x^{2} - 9 x - 14 \leq 0

Factor

- x^{2} - 9 x - 14 : - (x + 2) (x + 7)

- (x + 2) (x + 7) \leq 0

Multiply both sides by

- 1

(reverse the inequality)

(- (x + 2) (x + 7)) (- 1) \geq 0 \cdot (- 1)

Simplify

(x + 2) (x + 7) \geq 0

Identify the intervals

x \leq - 7 or x \geq - 2

Popular Examples

factor 2x^2-4x-16 factor

2 x^{2} - 4 x - 16

simplify (8i)/(9-4i)simplify

\frac{8 i}{9 - 4 i}

- 2 (x + 7)^{2} = - 162

sqrt(1/5)sqrt(1/5)=sqrt(5/5)

\frac{1}{5} \frac{1}{5} = \frac{5}{5}

simplify (4-sqrt(13))/(3-sqrt(7))simplify

\frac{4 - 13}{3 - 7}

Frequently Asked Questions (FAQ)

What is -x^2-9x-18<=-4 ?
The solution to -x^2-9x-18<=-4 is x<=-7\lor x>=-2