2/(x-2)>4

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

☐²

x^☐

√☐

^□√☐

□□

log_□

θ

∞

∫

ddx

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

simplify solve for inverse tangent line

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2x−2 >4

Solution

2<x<52

Interval Notation

(2, 52 )

Decimal

2<x<2.5

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Solution steps

One step at a time

2x−2 >4

Rewrite in standard form

−4x+10x−2 >0

Factor −4x+10x−2 : −2(2x−5)x−2

−2(2x−5)x−2 >0

Multiply both sides by −1 (reverse the inequality)

(−2(2x−5))(−1)x−2 <0· (−1)

Simplify

2(2x−5)x−2 <0

Divide both sides by 2

2(2x−5)x−2 2 <02

Simplify

2x−5x−2 <0

Identify the intervals

2<x<52

Number Line

2<x<52

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

2/(x-2)>4

Solution

Solution steps

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