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 1

(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.