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Popular >

-x^2-8x-19<=-4

Solution

- x^{2} - 8 x - 19 \leq - 4

Solution

x \leq - 5 or x \geq - 3

+1

Interval Notation

(- \infty, - 5] \cup [- 3, \infty)

Solution steps

- x^{2} - 8 x - 19 \leq - 4

Rewrite in standard form

- x^{2} - 8 x - 15 \leq 0

Factor

- x^{2} - 8 x - 15 : - (x + 3) (x + 5)

- (x + 3) (x + 5) \leq 0

Multiply both sides by

- 1

(reverse the inequality)

(- (x + 3) (x + 5)) (- 1) \geq 0 \cdot (- 1)

Simplify

(x + 3) (x + 5) \geq 0

Identify the intervals

x \leq - 5 or x \geq - 3

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Frequently Asked Questions (FAQ)

What is -x^2-8x-19<=-4 ?
The solution to -x^2-8x-19<=-4 is x<=-5\lor x>=-3