What is -(2x-1)/(x-5)<=-(2x+1)/(x+5) ?

The solution to -(2x-1)/(x-5) 5

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

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

- 5 < x \leq 0 or x > 5

Interval Notation

(- 5, 0] \cup (5, \infty)

Solution steps

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

Rewrite in standard form

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

Identify the intervals

- 5 < x \leq 0 or x > 5

22 x^{2} - 7 x - 2 \geq 0

x^{2} + x + 1 = 0

lo g_{2} (5) = 32

x^{2} - 13 x = 0

\frac{2}{3} - \frac{1}{12}

What is -(2x-1)/(x-5)<=-(2x+1)/(x+5) ?
The solution to -(2x-1)/(x-5)<=-(2x+1)/(x+5) is -5<x<= 0\lor x>5