QJEEM21Ma88d8: JEE Main 2021 Mathematics - Class 12 JEEM21Ma88d8 Solution: Let be defined by where [x] is the greatest integer less than…

Let $f:[0,3] \to R$ be defined by $f(x) = \min \{ x - [x],1 + [x] - x\}$ where [x] is the greatest integer less than or equal to x. Let P denote the set containing all x $\in$ [0, 3] where f i discontinuous, and Q denote the set containing all x $\in$ (0, 3) where f is not differentiable. Then the sum of number of elements in P and Q is equal to ______________.