What is x+1>((2x+2))/(x-1) ?

The solution to x+1>((2x+2))/(x-1) is -1 3

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

x + 1 > \frac{( 2 x + 2 )}{x - 1}

- 1 < x < 1 or x > 3

Interval Notation

(- 1, 1) \cup (3, \infty)

Solution steps

x + 1 > \frac{2 x + 2}{x - 1}

Rewrite in standard form

\frac{x ^{2} - 2 x - 3}{x - 1} > 0

Factor

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

\frac{( x + 1 ) ( x - 3 )}{x - 1} > 0

Identify the intervals

- 1 < x < 1 or x > 3

- 4 k - 5 < 3

5 x + 2 \geq 8 x - 2

\frac{x ^{- 1}}{x ^{2}}

\frac{15 + 5 i}{2 + i}

4 x^{3} - 36 x

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