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.