Q. 18

# 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

Here, P and Q are true then P or Q is True.

Hence, The compound statement is True.

(ii) The components of the compound statement are:

P: Delhi is in England.

Q: 2+2 = 4

Here, P is false, and q is true . So, P and Q must be false.

Hence, The compound statement is False.

(iii) The components of the compound statement are:

P: Delhi is in India.

Q: 2+2 = 5

Here, P is True, and q is False . So, P and Q must be false.

Hence, The compound statement is False.

(iv) The components of the compound statement are:

P: Delhi is in England.

Q: 2+2 = 5

Here, P and q are False . So, P and Q must be false.

Hence, The compound statement is False.

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