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Popular >

-x^2-7x-12<=-2

Solution

- x^{2} - 7 x - 12 \leq - 2

Solution

x \leq - 5 or x \geq - 2

+1

Interval Notation

(- \infty, - 5] \cup [- 2, \infty)

Solution steps

- x^{2} - 7 x - 12 \leq - 2

Rewrite in standard form

- x^{2} - 7 x - 10 \leq 0

Factor

- x^{2} - 7 x - 10 : - (x + 2) (x + 5)

- (x + 2) (x + 5) \leq 0

Multiply both sides by

- 1

(reverse the inequality)

(- (x + 2) (x + 5)) (- 1) \geq 0 \cdot (- 1)

Simplify

(x + 2) (x + 5) \geq 0

Identify the intervals

x \leq - 5 or x \geq - 2

Popular Examples

factor 6^n+2^n factor

6^{n} + 2^{n}

simplify (x^{-3})/(x^{-2)}simplify

\frac{x ^{- 3}}{x ^{- 2}}

2 x^{2} - x > 10

\frac{x}{4} = 3

64 = y^{2}

Frequently Asked Questions (FAQ)

What is -x^2-7x-12<=-2 ?
The solution to -x^2-7x-12<=-2 is x<=-5\lor x>=-2