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

Solutions > Mid-Range Calculator >

7x<= 20-3x^2

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

☐²

x^☐

√☐

^□√☐

□□

log_□

π

θ

∞

∫

ddx

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

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Steps Examples

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7x≤ 20−3x²

Solution

−4≤ x≤53

Interval Notation

[−4, 53 ]

Decimal

−4≤ x≤ 1.66666…

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Solution steps

One step at a time

7x≤ 20−3x²

Rewrite in standard form

7x+3x²−20≤ 0

Factor 7x+3x²−20: (3x−5)(x+4)

(3x−5)(x+4)≤ 0

Identify the intervals

−4≤ x≤ 53

Number Line

−4≤ x≤ 53

Mid-Range Examples

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