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

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

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

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

x < 1 or x > 3

Interval Notation

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

Solution steps

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

Rewrite in standard form

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

Identify the intervals

x < 1 or x > 3

lo g_{8} (9)

x + 5 = 5 x + 25

- 5 t^{2} + 3.031 t + 1.15 = 0

- 1.0376 + 4.718

83.3 x^{2} - 59.3 x + 10.204 = 0

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