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

(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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