Quadratic Equations
Absolute Value Inequalities
JEE Main 2022
Grade 11
Question:
Find the number of integer solutions of $|x^2 - 5x + 6| < 1$.
Step-by-Step Solution
Key Concept: The inequality means $-1 < (x - 2)(x - 3) < 1$. Solve each part separately: the upper bound gives a quadratic inequality whose roots you should find. Then count integers in the resulting interval.
The detailed step-by-step mathematical proof is available inside the Mathbee app workspace.
Correct Answer: 2