What is 2/(3-x)>= 5/(7-x) ?

The solution to 2/(3-x)>= 5/(7-x) is 1/3 7

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2/(3-x)>= 5/(7-x)

\frac{2}{3 - x} \geq \frac{5}{7 - x}

\frac{1}{3} \leq x < 3 or x > 7

Interval Notation

[\frac{1}{3}, 3) \cup (7, \infty)

Decimal Notation

0.33333 \dots \leq x < 3 or x > 7

Solution steps

\frac{2}{3 - x} \geq \frac{5}{7 - x}

Rewrite in standard form

\frac{3 x - 1}{( - x + 3 ) ( - x + 7 )} \geq 0

Identify the intervals

\frac{1}{3} \leq x < 3 or x > 7

\frac{- 8}{2 ( 1 )}

2 x^{2} - 7 x = 4

x^{2} \leq 100

344

3 + 2 x 3 = 5

What is 2/(3-x)>= 5/(7-x) ?
The solution to 2/(3-x)>= 5/(7-x) is 1/3 <= x<3\lor x>7