Over the universe of positive integers,

define p(n): n is prime and n < 32.

q(n): n is a power of 3.

r(n): n is a divisor of 27.

explain if possible, !

Answer and explanation:

Over the universe of positive integers,  define the following.

The universe of discourse is i.e. set of positive integer.

a) p(n) : n is prime and n < 32.

The set form in which all numbers are prime and less than 32.

So,

b) q(n): n is a power of 3.

The set form in which all numbers which has power of 3.

So,

c) r(n): n is a divisor of 27.

The set form in which all numbers which is factor of 27

So,