What is (2-2x)/(3x-6)<= 1 ?

The solution to (2-2x)/(3x-6) 2

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(2-2x)/(3x-6)<= 1

\frac{2 - 2 x}{3 x - 6} \leq 1

x \leq \frac{8}{5} or x > 2

Interval Notation

(- \infty, \frac{8}{5}] \cup (2, \infty)

Decimal Notation

x \leq 1.6 or x > 2

Solution steps

\frac{2 - 2 x}{3 x - 6} \leq 1

Rewrite in standard form

\frac{- 5 x + 8}{3 x - 6} \leq 0

Factor

\frac{- 5 x + 8}{3 x - 6} : \frac{- 5 x + 8}{3 ( x - 2 )}

\frac{- 5 x + 8}{3 ( x - 2 )} \leq 0

Multiply both sides by

3

\frac{3 ( - 5 x + 8 )}{3 ( x - 2 )} \leq 0 \cdot 3

Simplify

\frac{- 5 x + 8}{x - 2} \leq 0

Identify the intervals

x \leq \frac{8}{5} or x > 2

- 2 < - 4 z + 2 \leq 14

w^{2} + 32 = 0

\frac{1}{5} (q + 3) = \frac{1}{2} (q - 6)

5.1 - r \geq 5

x^{2} + 12 x + 33 = 0

What is (2-2x)/(3x-6)<= 1 ?
The solution to (2-2x)/(3x-6)<= 1 is x<= 8/5 \lor x>2