Question

Solve the following inequality
2x/2x^2+5x+2>1/x+1​

Answer 1

Answer:

x < - 2/3

Step-by-step explanation:

$\sf \Rightarrow \dfrac{2x}{2 {x}^{2} + 5x + 2} > \dfrac{1}{x + 1}$

⇒ 2x( x + 1 ) > 2x² + 5x + 2

⇒ 2x² + 2x > 2x² + 5x + 2

⇒ 2x² - 2x² - 2 > 5x - 2x

⇒ - 2 > 3x

⇒ - 2/3 > x

⇒ x < - 2/3