What is (x+2)/(2x-1)< 1/(x+7) ?

The solution to (x+2)/(2x-1)< 1/(x+7) is -7<x< 1/2

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(x+2)/(2x-1)< 1/(x+7)

\frac{x + 2}{2 x - 1} < \frac{1}{x + 7}

- 7 < x < \frac{1}{2}

Interval Notation

(- 7, \frac{1}{2})

Decimal Notation

- 7 < x < 0.5

Solution steps

\frac{x + 2}{2 x - 1} < \frac{1}{x + 7}

Rewrite in standard form

\frac{x ^{2} + 7 x + 15}{( x + 7 ) ( 2 x - 1 )} < 0

Identify the intervals

- 7 < x < \frac{1}{2}

lo g_{3} (x) - lo g_{3} (y)

- 7 \leq 1 - 4 x^{7} < 12

x + 3 (0) = 6

2 x (x - 1) = 0

(3 x - 5)^{2} = 13

What is (x+2)/(2x-1)< 1/(x+7) ?
The solution to (x+2)/(2x-1)< 1/(x+7) is -7<x< 1/2