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Popular >

6x-5<= 6/x

Solution

6 x - 5 \leq \frac{6}{x}

Solution

x \leq - \frac{2}{3} or 0 < x \leq \frac{3}{2}

+2

Interval Notation

(- \infty, - \frac{2}{3}] \cup (0, \frac{3}{2}]

Decimal Notation

x \leq - 0.66666 \dots or 0 < x \leq 1.5

Solution steps

6 x - 5 \leq \frac{6}{x}

Rewrite in standard form

\frac{6 x ^{2} - 5 x - 6}{x} \leq 0

Factor

\frac{6 x ^{2} - 5 x - 6}{x} : \frac{( 3 x + 2 ) ( 2 x - 3 )}{x}

\frac{( 3 x + 2 ) ( 2 x - 3 )}{x} \leq 0

Identify the intervals

x \leq - \frac{2}{3} or 0 < x \leq \frac{3}{2}

Popular Examples

simplify 5/8-(1/4)^2 simplify

\frac{5}{8} - (\frac{1}{4})^{2}

factor 2x^3-5x^2-3x factor

2 x^{3} - 5 x^{2} - 3 x

factor (p+q)^2-r^2 factor

(p + q)^{2} - r^{2}

factor 7x^2+18xy+8y^2 factor

7 x^{2} + 18 x y + 8 y^{2}

7 x = 105

Frequently Asked Questions (FAQ)

What is 6x-5<= 6/x ?
The solution to 6x-5<= 6/x is x<=-2/3 \lor 0<x<= 3/2