What is -x^2-11x-30<=-2 ?

The solution to -x^2-11x-30 =-4

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-x^2-11x-30<=-2

- x^{2} - 11 x - 30 \leq - 2

x \leq - 7 or x \geq - 4

Interval Notation

(- \infty, - 7] \cup [- 4, \infty)

Solution steps

- x^{2} - 11 x - 30 \leq - 2

Rewrite in standard form

- x^{2} - 11 x - 28 \leq 0

Factor

- x^{2} - 11 x - 28 : - (x + 4) (x + 7)

- (x + 4) (x + 7) \leq 0

Multiply both sides by

- 1

(reverse the inequality)

(- (x + 4) (x + 7)) (- 1) \geq 0 \cdot (- 1)

Simplify

(x + 4) (x + 7) \geq 0

Identify the intervals

x \leq - 7 or x \geq - 4

z^{2} + 12 z + 21 = 0

x (x + 1) < 2

lo g_{8} (60) - lo g_{8} (3) - lo g_{8} (5)

10 q - 15 = 5 (2 q + 4)

\frac{1}{2} \cdot 8