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periodicity of 4cos(x)

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

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1x−3 <2x−5

Solution

2<x<3 or x>72

Interval Notation

(2, 3)∪(72 , ∞ )

Decimal

2<x<3 or x>3.5

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Solution steps

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1x−3 <2x−5

Rewrite in standard form

−2x²+11x−14x−3 <0

Factor −2x²+11x−14x−3 : −(x−2)(2x−7)x−3

−(x−2)(2x−7)x−3 <0

Multiply both sides by −1 (reverse the inequality)

(−(x−2)(2x−7))(−1)x−3 >0· (−1)

Simplify

(x−2)(2x−7)x−3 >0

Identify the intervals

2<x<3 or x>72

Number Line

2<x<3 or x>72

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

periodicity of 4cos(x)

Solution

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