|x-3|-|x-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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|x−3|−|x−4|<x

Solution

x>−1

Interval Notation

(−1, ∞ )

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Solution steps

One step at a time

|x−3|−|x−4|<x

Find positive and negative intervals

x<3, 3≤ x<4, x≥ 4

Solve the inequality for each interval

−1<x<3 or 3≤ x<4 or x≥ 4

Merge Overlapping Intervals

x>−1

Number Line

x>−1

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Notebook

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

|x-3|-|x-4|

Solution

Solution steps

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