(i) All primes are either even odd. (ii) 2 is an even number and prime number.

Question

Identify the component statement and the connective word in the following compound statement.

(i) All primes are either even odd.

(ii) 2 is an even number and prime number.

Answer 1

(i) All primes are either even odd.

The component statement are –

p : 2 is an even number.

q : 2 is a prime number.

The connecting word is ‘or’.

(ii) 2 is an even number and prime number.

The component statement are–

p : 2 is an even number.

q : 2 is a prime number.

The connecting word is ‘and’.