Question

For each of the following statements , determine whether an inclusive " Or " or exclusive " Or " is used. Give reasons for your answer.

(i) To enter a country , you need a passport or a voter registration card

(ii) The school is closed if it is a holiday or a Sunday

(iii) Two lines intersect at a point or are parallel

(iv) Students can take French or Sanskrit as their third language ​

Answer 1

Given :-

For each of the following statements , determine whether an inclusive " Or " or exclusive " Or " is used

To Find :-

• To enter a country , you need a passport or a voter registration card

• The school is closed if it is a holiday or a Sunday

• Two lines intersect at a point or are parallel

• Students can take French or Sanskrit as their third language

Step by Step Explanation :-

(i) Here " Or " is inclusive since a person can have both a passport and a voter registration card to enter a country.

(ii) Here also " Or " is inclusive since school is closed on holiday as well as on Sunday.

(iii) Here " Or " is exclusive because it is not possible for two lines to intersect and parallel together

(iv) Here also " Or " is exclusive because a student cannot both French and Sanskrit

✪ Remember/Note

☞ Rule the compound statement with 'OR'

➸ A compound statement with an 'Or' is true when one component statement is true or both the component statements are true.

➸ A compound statement with an 'Or' is false when both the component statements are false.