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Popular >

4/(x-3)>= 2/(x-2)

Solution

\frac{4}{x - 3} \geq \frac{2}{x - 2}

Solution

1 \leq x < 2 or x > 3

+1

Interval Notation

[1, 2) \cup (3, \infty)

Solution steps

\frac{4}{x - 3} \geq \frac{2}{x - 2}

Rewrite in standard form

\frac{2 x - 2}{( x - 3 ) ( x - 2 )} \geq 0

Factor

\frac{2 x - 2}{( x - 3 ) ( x - 2 )} : \frac{2 ( x - 1 )}{( x - 3 ) ( x - 2 )}

\frac{2 ( x - 1 )}{( x - 3 ) ( x - 2 )} \geq 0

Divide both sides by

2

\frac{\frac{2 ( x - 1 )}{( x - 3 ) ( x - 2 )}}{2} \geq \frac{0}{2}

Simplify

\frac{x - 1}{( x - 3 ) ( x - 2 )} \geq 0

Identify the intervals

1 \leq x < 2 or x > 3

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Frequently Asked Questions (FAQ)

What is 4/(x-3)>= 2/(x-2) ?
The solution to 4/(x-3)>= 2/(x-2) is 1<= x<2\lor x>3