Find the component statements of the following compound statements and check whether they are true or false. (i) Number 3 is prime or it is odd. (ii) All integers are positive or negative. (iii) 100 is divisible by 3, 11 and 5.

Explanation

(i) component statements
p: number 3 is prime.
q: number 3 is odd.
both components statements are true.
(ii) component statements
p: all integeres are positive.
q: all integers are negative.
both component statements are false.
(iii) component statements
p: 100 is divisible by 3
q: 100 is divisible by 11
r: 100 is divisible by 5.
here the component p and q are false and r is true.