IIM-B (BBA-DBE) 2024 #2 (QA) PYQs

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

Find the sum of the smallest value and the greatest value of $x$ that satisfy the inequality $|5x + 5| - 8 \leq 17$.

If $n \leq 4$ and $2 \leq m \leq n \leq 5,$ then what is the greatest possible value of $(n - m)(n + m)?$