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Popular >

1/(2x-4)<= 2

Solution

\frac{1}{2 x - 4} \leq 2

Solution

x < 2 or x \geq \frac{9}{4}

+2

Interval Notation

(- \infty, 2) \cup [\frac{9}{4}, \infty)

Decimal Notation

x < 2 or x \geq 2.25

Solution steps

\frac{1}{2 x - 4} \leq 2

Rewrite in standard form

\frac{- 4 x + 9}{2 x - 4} \leq 0

Factor

\frac{- 4 x + 9}{2 x - 4} : \frac{- 4 x + 9}{2 ( x - 2 )}

\frac{- 4 x + 9}{2 ( x - 2 )} \leq 0

Multiply both sides by

2

\frac{2 ( - 4 x + 9 )}{2 ( x - 2 )} \leq 0 \cdot 2

Simplify

\frac{- 4 x + 9}{x - 2} \leq 0

Identify the intervals

x < 2 or x \geq \frac{9}{4}

Popular Examples

factor-14x^6yz+35x^2y^4z^5 factor

- 14 x^{6} yz + 35 x^{2} y^{4} z^{5}

simplify (c-1)(c-2)+(c-3)(c-4)simplify

(c - 1) (c - 2) + (c - 3) (c - 4)

z^2-3/4 z-1/8 =0

z^{2} - \frac{3}{4} z - \frac{1}{8} = 0

factor 1/64 x^3-8/1000 y^3 factor

\frac{1}{64} x^{3} - \frac{8}{1000} y^{3}

simplify-(1/3)^{-1}simplify

- (\frac{1}{3})^{- 1}

Frequently Asked Questions (FAQ)

What is 1/(2x-4)<= 2 ?
The solution to 1/(2x-4)<= 2 is x<2\lor x>= 9/4