State whether the ‘Or’ used in the following statements is exclusive ‘or’ inclusive. Give reasons for your answer.
(i) Sun rises or Moon sets
(ii) To apply for a driving license, you should have a ration card or a passport
(iii) All integers are positive or negative

Solution:

Inclusive "or" allows either or both of the possibilities to happen at a time whereas exclusive "or" allows only one possibility to happen at a time.

(i) Here, ‘or’ is exclusive because it is not possible for both the Sun to rise and the moon to set together.

(ii) Here, ‘or’ is inclusive since to apply for a driving license, a person can have both a ration card and a passport.

(iii) Here, ‘or’ is exclusive because no integer can be both positive and negative

NCERT Solutions Class 11 Maths Chapter 14 Exercise 14.3 Question 4

State whether the ‘Or’ used in the following statements is exclusive ‘or’ inclusive. Give reasons for your answer. (i) Sun rises or Moon sets. (ii) To apply for a driving license, you should have a ration card or a passport. (iii) All integers are positive or negative.

Summary:

(i) Here, ‘or’ is exclusive because it is not possible for both the Sun to rise and the moon to set together

(ii) Here, ‘or’ is inclusive since to apply for a driving license, a person can have both a ration card and a passport

(iii) Here, ‘or’ is exclusive because no integer can be both positive and negative