Let $[x]$ be the greatest integer less than or equal to $x$. If the set of equations $x-3 y=4 ; 5 x+

Question

Let $[x]$ be the greatest integer less than or equal to $x$. If the set of equations $x-3 y=4 ; 5 x+y=2 ;[2 \pi] x-[c] y=[2 a]$ are consistent, then $a$ should lie in

Professor PC Thomas Classes · Answer

Consistency condition maps to the corresponding interval.