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3x<= 11-8x^2

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3x≤ 11−8x²

Solution

−118 ≤ x≤ 1

Interval Notation

[−118 , 1]

Decimal

−1.375≤ x≤ 1

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Solution steps

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3x≤ 11−8x²

Rewrite in standard form

3x+8x²−11≤ 0

Factor 3x+8x²−11: (x−1)(8x+11)

(x−1)(8x+11)≤ 0

Identify the intervals

−118 ≤ x≤ 1

Number Line

−118 ≤ x≤ 1

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

3x<= 11-8x^2

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