IIM-B (BBA-DBE) 2024 #1 (QA) PYQs

The set of values of $x$ which satisfy the inequality $0.7^{(2x^2 - 3x + 4)} < 0.343$ is

The set of all real values of x satisfying the inequality $\dfrac{x^2(x+1)}{(x-1)(2x+1)^3} > 0$ is

If $x ∈ (a, b)$ satisfies the inequality $\dfrac{x - 3}{x^2 + 3x + 2} \geq 1$, then the largest possible value of $b - a$ is