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Popular >

(1/4)x*(8/3)x<= 8/27

Solution

(\frac{1}{4}) x \cdot (\frac{8}{3}) x \leq \frac{8}{27}

Solution

- \frac{2}{3} \leq x \leq \frac{2}{3}

+2

Interval Notation

[- \frac{2}{3}, \frac{2}{3}]

Decimal Notation

- 0.66666 \dots \leq x \leq 0.66666 \dots

Solution steps

\frac{1}{4} x \frac{8}{3} x \leq \frac{8}{27}

Expand

\frac{1}{4} x \frac{8}{3} x : \frac{2 x ^{2}}{3}

\frac{2 x ^{2}}{3} \leq \frac{8}{27}

Multiply both sides by

3

2 x^{2} \leq \frac{8}{9}

Divide both sides by

2

x^{2} \leq \frac{4}{9}

For

u^{n} \leq a

, if

n

is even then

- \frac{4}{9} \leq x \leq \frac{4}{9}

\frac{4}{9} = \frac{2}{3}

- \frac{2}{3} \leq x \leq \frac{2}{3}

Popular Examples

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\frac{x - 5}{x + 2} < 0

Frequently Asked Questions (FAQ)

What is (1/4)x*(8/3)x<= 8/27 ?
The solution to (1/4)x*(8/3)x<= 8/27 is -2/3 <= x<= 2/3