Question 8
How many positive integers less than or equal to $2022$ cannot be expressed as $$\lfloor2x+1\rfloor+\lfloor5x+1\rfloor$$ for some real number $x$? Here, $\lfloor x\rfloor$ denotes the greatest integer less than or equal to $x$. For example, $\lfloor-2.1\rfloor=-3$, $\lfloor3.9\rfloor=3$.