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Popular >

(6x-18)/(x-5)>= 4

Solution

\frac{6 x - 18}{x - 5} \geq 4

Solution

x \leq - 1 or x > 5

+1

Interval Notation

(- \infty, - 1] \cup (5, \infty)

Solution steps

\frac{6 x - 18}{x - 5} \geq 4

Rewrite in standard form

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

Factor

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

\frac{2 ( x + 1 )}{x - 5} \geq 0

Divide both sides by

2

\frac{\frac{2 ( x + 1 )}{x - 5}}{2} \geq \frac{0}{2}

Simplify

\frac{x + 1}{x - 5} \geq 0

Identify the intervals

x \leq - 1 or x > 5

Popular Examples

6 m \leq - 36

factor-10x^2+5x+2y-4xy factor

- 10 x^{2} + 5 x + 2 y - 4 x y

simplify ((2pi)/3)/(3)simplify

\frac{\frac{2 π}{3}}{3}

simplify (1/a-1/b)/(\frac{a-b){ab}}simplify

\frac{\frac{1}{a} - \frac{1}{b}}{\frac{a - b}{ab}}

simplify 40*1/4 simplify

40 \cdot \frac{1}{4}

Frequently Asked Questions (FAQ)

What is (6x-18)/(x-5)>= 4 ?
The solution to (6x-18)/(x-5)>= 4 is x<=-1\lor x>5