x^2+8x>= 9

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`x`²	`x`^□	log_□	√☐	^□√☐	≤	≥	□□	·	÷	`x`^◦	π
(☐)^′	`ddx`	∂∂`x`	∫	∫_□^□	lim	∑	∞	`θ`	(`f` ◦ `g`)	`f`(`x`)

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√☐

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≥	≤	·	÷	`x`^◦	(☐)	\|☐\|	(`f` ◦ `g`)	`f`(`x`)	ln	`e`^☐
(☐)^′	∂∂`x`	∫_□^□	lim	∑	sin	cos	tan	cot	csc	sec

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x²+8x≥ 9

Solution

x≤ −9 or x≥ 1

Interval Notation

(−∞ , −9]∪ [1, ∞ )

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Solution steps

One step at a time

x²+8x≥ 9

Rewrite in standard form

x²+8x−9≥ 0

Factor x²+8x−9: (x−1)(x+9)

(x−1)(x+9)≥ 0

Identify the intervals

x≤ −9 or x≥ 1

Number Line

x≤ −9 or x≥ 1

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