Question

Determine whether the following compound statements are true or false:
(i) Delhi is in India and 2 + 2 = 4.
(ii) Delhi is in England and 2 + 2 = 4.
(iii) Delhi is in India and 2 + 2 = 5.
(iv) Delhi is in England and 2 + 2 =5.

Answer 1

(i) True
Both component statements are true and the connective is "and".
(ii) False
The first component statement "Delhi is in England" is false. Since the connective is "and" and one component statement is false, the compound statement is false.
(iii) False
The second component statement "2 plus 2 equals 5" is false. Since the connective is "and" and one component statement is false, the compound statement is false.
(iv) False
Both the component statements are false. Therefore, the compound statement is false.