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Popular >

((5x+2))/(x-6)<= 1

Solution

\frac{( 5 x + 2 )}{x - 6} \leq 1

Solution

- 2 \leq x < 6

+1

Interval Notation

[- 2, 6)

Solution steps

\frac{5 x + 2}{x - 6} \leq 1

Rewrite in standard form

\frac{4 x + 8}{x - 6} \leq 0

Factor

\frac{4 x + 8}{x - 6} : \frac{4 ( x + 2 )}{x - 6}

\frac{4 ( x + 2 )}{x - 6} \leq 0

Divide both sides by

4

\frac{\frac{4 ( x + 2 )}{x - 6}}{4} \leq \frac{0}{4}

Simplify

\frac{x + 2}{x - 6} \leq 0

Identify the intervals

- 2 \leq x < 6

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m^{2} + 7 m + 10

3 x + 60 = 84 - 5 x

factor-3x^2+10x+8 factor

- 3 x^{2} + 10 x + 8

\frac{x - 2}{- 3} < 10

Frequently Asked Questions (FAQ)

What is ((5x+2))/(x-6)<= 1 ?
The solution to ((5x+2))/(x-6)<= 1 is -2<= x<6