What is 2/(x+3)> 3/(1-4x) ?

The solution to 2/(x+3)> 3/(1-4x) is -3 1/4

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2/(x+3)> 3/(1-4x)

\frac{2}{x + 3} > \frac{3}{1 - 4 x}

- 3 < x < - \frac{7}{11} or x > \frac{1}{4}

Interval Notation

(- 3, - \frac{7}{11}) \cup (\frac{1}{4}, \infty)

Decimal Notation

- 3 < x < - 0.63636 \dots or x > 0.25

Solution steps

\frac{2}{x + 3} > \frac{3}{1 - 4 x}

Rewrite in standard form

\frac{- 11 x - 7}{( x + 3 ) ( - 4 x + 1 )} > 0

Identify the intervals

- 3 < x < - \frac{7}{11} or x > \frac{1}{4}

\frac{x ^{- 1}}{x ^{- 1}}

0.0 2^{3}

x^{2} - 7 x = - 5

4 n + 2 = 6 (31 n - 32)

\frac{8}{i}

What is 2/(x+3)> 3/(1-4x) ?
The solution to 2/(x+3)> 3/(1-4x) is -3<x<-7/11 \lor x> 1/4