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

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

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

\frac{( 2 x - 5 )}{5 x - 5} \leq 5

x \leq \frac{20}{23} or x > 1

Interval Notation

(- \infty, \frac{20}{23}] \cup (1, \infty)

Decimal Notation

x \leq 0.86956 \dots or x > 1

Solution steps

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

Rewrite in standard form

\frac{- 23 x + 20}{5 x - 5} \leq 0

Factor

\frac{- 23 x + 20}{5 x - 5} : \frac{- 23 x + 20}{5 ( x - 1 )}

\frac{- 23 x + 20}{5 ( x - 1 )} \leq 0

Multiply both sides by

5

\frac{5 ( - 23 x + 20 )}{5 ( x - 1 )} \leq 0 \cdot 5

Simplify

\frac{- 23 x + 20}{x - 1} \leq 0

Identify the intervals

x \leq \frac{20}{23} or x > 1

9 + 6 x + x^{2}

- 10 n > - 20

4 x \leq 20

(- 7 x)^{\frac{1}{5}}

8 x^{2} + 12 x - 8

What is ((2x-5))/(5x-5)<= 5 ?
The solution to ((2x-5))/(5x-5)<= 5 is x<= 20/23 \lor x>1