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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 -

(i) The components of the compound statement are:
P: Delhi is in India.
Q: 2 + 2 = 4
Both P and Q are true.
Hence, the compound statement is True.
(ii) The components of the compound statement are:
P: Delhi is in England.
Q: 2 + 2 = 4
P is false, and q is true. So, both P and Q are false.
Hence, the compound statement is False.
(iii) The components of the compound statement are:
P: Delhi is in India.
Q: 2 + 2 = 5
P is true, and q is false. So, both P and Q are false.
Hence, the compound statement is False.
(iv) The components of the compound statement are:
P: Delhi is in England.
Q: 2 + 2 = 5
Both P and Q are false.
Hence, the compound statement is False.

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