Determine if the first proposition is true the second propos

Determine if the first proposition is true the, second proposition is true both or neither for (xy=1) (xy=0) x and y are real numbers.

Solution

The first statement is FALSE, since for x=0, there doesn\'t exists a real number such that y=1/x, since 1/x is not defined

Hence the first statement is FALSE

There exist a x which is 0 for every y, that is 0 such that xy = 0

Hence the first statement is FALSE and second statement is TRUE