Convert the compound statements into symbols

Question

Chris does not play football and Kevin does not play basketball.

It is not the case that Chris does not play football and Kevin does not play basketball

Answer 1

The symbols to use here depend on the system of logic you are employing. Assuming contemporary First Order or Predicate, the symbols might be something like this (using & for "and," | for "or," and ~ for "not"):

~Fc & ~Bk

The second statement begins as ~(~Fc & ~Bk). We would typically transform this into Fc | Bk.