What is |(2x^2-6)/(2(x+1))-(4x)/(2x+2)|<4x+1 ?

The solution to |(2x^2-6)/(2(x+1))-(4x)/(2x+2)| 2/5

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|(2x^2-6)/(2(x+1))-(4x)/(2x+2)|<4x+1

\frac{2 x ^{2} - 6}{2 ( x + 1 )} - \frac{4 x}{2 x + 2} < 4 x + 1

x > \frac{2}{5}

Interval Notation

(\frac{2}{5}, \infty)

Decimal Notation

x > 0.4

Solution steps

\frac{2 x ^{2} - 6}{2 ( x + 1 )} - \frac{4 x}{2 x + 2} < 4 x + 1

Find positive and negative intervals

x < 3, x \geq 3

Solve the inequality for each interval

No Solution or \frac{2}{5} < x < 3 or x \geq 3

Merge Overlapping Intervals

x > \frac{2}{5}

x (x + 4) = 45

(x^{3})^{- 3} (- 2 y^{5})^{4}

t^{2} + 9 t - 4 = - 5

4 x^{2} - 23 x + 15

2 (- \frac{12}{13}) (- \frac{5}{13})

What is |(2x^2-6)/(2(x+1))-(4x)/(2x+2)|<4x+1 ?
The solution to |(2x^2-6)/(2(x+1))-(4x)/(2x+2)|<4x+1 is x> 2/5