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(x^2+x-12)/x >=0

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

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x²+x−12x ≥ 0

Solution

−4≤ x<0 or x≥ 3

Interval Notation

[−4, 0)∪ [3, ∞ )

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Solution steps

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x²+x−12x ≥ 0

Factor x²+x−12x : (x−3)(x+4)x

(x−3)(x+4)x ≥ 0

Identify the intervals

−4≤ x<0 or x≥ 3

Number Line

−4≤ x<0 or x≥ 3

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−▭▭	<	7	8	9	÷	`AC`
+▭▭	>	4	5	6	×	☐☐☐
×▭▭	(	1	2	3	−	`x`
▭ \|▭	)	.	0	=	+	`y`

(x^2+x-12)/x >=0

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