Question

Solve the inequality $\frac{2x+1}{x+1}<2$

• A. x > 0
• B. x > -1
• C. x > 1
• D. x < 1

Answer 1

The correct option is B

x > -1

Given inequality

$\frac{2x+1}{x+1}<2$

$\frac{2x+1}{x+1}-2<0$

$\frac{2x+1-2x-2}{x+1}<0$

$\frac{-1}{x+1}<0$

Multiple above inequalities by -1

$\frac{1}{x+1}>0$

x + 1 > 0

x > -1

x ∈ (-1,$\infty$)