sqrt(2y+7)<5

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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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Steps Examples

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√2y+7<5

Solution

−72 ≤ y<9

Interval Notation

[−72 , 9)

Decimal

−3.5≤ y<9

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Solution steps

One step at a time

√2y+7<5

Square both sides

(√2y+7)²<5²

Simplify

2y+7<25

2y+7<25 : y<9

y<9

Find singularity points

Find non-negative values for radicals: y≥ −72

Combine the intervals

y<9 and y≥ −72

Merge Overlapping Intervals

−72 ≤ y<9

Number Line

−72 ≤ y<9

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Notebook

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

sqrt(2y+7)<5

Solution

Solution steps

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