What is (2x-4)/(x+3)>(x+2)/(2x+6) ?

The solution to (2x-4)/(x+3)>(x+2)/(2x+6) is x 10/3

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(2x-4)/(x+3)>(x+2)/(2x+6)

\frac{2 x - 4}{x + 3} > \frac{x + 2}{2 x + 6}

x < - 3 or x > \frac{10}{3}

Interval Notation

(- \infty, - 3) \cup (\frac{10}{3}, \infty)

Decimal Notation

x < - 3 or x > 3.33333 \dots

Solution steps

\frac{2 x - 4}{x + 3} > \frac{x + 2}{2 x + 6}

Rewrite in standard form

\frac{3 x - 10}{x + 3} > 0

Identify the intervals

x < - 3 or x > \frac{10}{3}

- 23 m = - 12

- x^{2} - 5 x + 6

64 x^{4} + 128 x^{3} - 100 x^{2} - 200 x

x < \frac{2 x - 15}{3}

∣ 5 x ∣ = 10

What is (2x-4)/(x+3)>(x+2)/(2x+6) ?
The solution to (2x-4)/(x+3)>(x+2)/(2x+6) is x<-3\lor x> 10/3