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Popular >

x+2/(x-1)>= 4

Solution

x + \frac{2}{x - 1} \geq 4

Solution

1 < x \leq 2 or x \geq 3

+1

Interval Notation

(1, 2] \cup [3, \infty)

Solution steps

x + \frac{2}{x - 1} \geq 4

Rewrite in standard form

\frac{x ^{2} - 5 x + 6}{x - 1} \geq 0

Factor

\frac{x ^{2} - 5 x + 6}{x - 1} : \frac{( x - 2 ) ( x - 3 )}{x - 1}

\frac{( x - 2 ) ( x - 3 )}{x - 1} \geq 0

Identify the intervals

1 < x \leq 2 or x \geq 3

Popular Examples

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\frac{2 y}{2 x y}

(x-2)/(x^2-3x-10)>= 0

\frac{x - 2}{x ^{2} - 3 x - 10} \geq 0

simplify (8x^3y^{-5})/(4x^{-1)y^2}simplify

\frac{8 x ^{3} y ^{- 5}}{4 x ^{- 1} y ^{2}}

x - 7 < 3 (x + 1)

f=(5(-1)+3)/(3(-1)-4)

f = \frac{5 ( - 1 ) + 3}{3 ( - 1 ) - 4}

Frequently Asked Questions (FAQ)

What is x+2/(x-1)>= 4 ?
The solution to x+2/(x-1)>= 4 is 1<x<= 2\lor x>= 3