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

Solutions > Linear Inequalities Calculator >

q+12-2(q-22)>0

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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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q+12−2(q−22)>0

Solution

q<56

Interval Notation

(−∞ , 56)

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Solution steps

One step at a time

q+12−2(q−22)>0

Move 12 to the right side

q−2(q−22)>−12

Expand −2(q−22): −2q+44

q−2q+44>−12

Add similar elements: q−2q=−q

−q+44>−12

Move 44 to the right side

−q>−56

Multiply both sides by −1

q<56

Number Line

q<56

Linear Inequalities Examples

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