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domínio 2sin(2x)+3

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

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

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20x−1015x−3 <20

Solution

x<528 or x>15

Interval Notation

(−∞ , 528 )∪(15 , ∞ )

Decimal

x<0.17857… or x>0.2

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Solution steps

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20x−1015x−3 <20

Reescrever na forma geral

−280x+5015x−3 <0

Fatorar −280x+5015x−3 : −10(28x−5)3(5x−1)

−10(28x−5)3(5x−1) <0

Simplificar

−10(28x−5)3(5x−1) <0

Multiplique ambos os lados por −1 (inverta a desigualdade)

(−10(28x−5))(−1)3(5x−1) >0· (−1)

Simplificar

10(28x−5)3(5x−1) >0

Multiplicar ambos os lados por 3

3· 10(28x−5)3(5x−1) >0· 3

Simplificar

10(28x−5)5x−1 >0

Dividir ambos os lados por 10

10(28x−5)5x−1 10 >010

Simplificar

28x−55x−1 >0

Identifique os intervalos

x<528 or x>15

Reta numérica

x<528 or x>15

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

domínio 2sin(2x)+3

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