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Popular >

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

Solution

\frac{6}{x - 4} \geq \frac{3}{x - 3}

Solution

2 \leq x < 3 or x > 4

+1

Interval Notation

[2, 3) \cup (4, \infty)

Solution steps

\frac{6}{x - 4} \geq \frac{3}{x - 3}

Rewrite in standard form

\frac{3 x - 6}{( x - 4 ) ( x - 3 )} \geq 0

Factor

\frac{3 x - 6}{( x - 4 ) ( x - 3 )} : \frac{3 ( x - 2 )}{( x - 4 ) ( x - 3 )}

\frac{3 ( x - 2 )}{( x - 4 ) ( x - 3 )} \geq 0

Divide both sides by

3

\frac{\frac{3 ( x - 2 )}{( x - 4 ) ( x - 3 )}}{3} \geq \frac{0}{3}

Simplify

\frac{x - 2}{( x - 4 ) ( x - 3 )} \geq 0

Identify the intervals

2 \leq x < 3 or x > 4

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x^{2} + 2 x + 1 = 5 x + 19

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8 a^{3} + 1

Frequently Asked Questions (FAQ)

What is 6/(x-4)>= 3/(x-3) ?
The solution to 6/(x-4)>= 3/(x-3) is 2<= x<3\lor x>4