1.

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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