Q4 of 21 Page 14

Determine whether in the given statements an inclusive “OR” or exclusive “OR” is used.

(i) Sun rises or moon sets


(ii) Two lines intersect at a point or are parallel.


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

(i) As in the day time sun rises and moon sets, the “OR” used is exclusive.


(ii) As it is not possible for two lines to intersect or parallel at a same time. Hence the “OR” used is exclusive.


(iii) As school is closed on Sunday as well on holiday. Hence the “OR” used is inclusive.


More from this chapter

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2

Write the negation of the statement “The number 3 is less than 6”.

 3

Find the component statement and check whether it is true or not:

All integers are positive or negative.

 8

Identify the quantifier in the following statements and write the negation of the statements.

(i) There exists a number which is equal to its square.


(ii) For every real number x, x is less than x + 1.


(iii) There exists a capital for every state in India.

 9

Determine whether the argument used to check the validity of the following statement is correct:

p: “If x2 is irrational, then x is rational.”


The statement is true because the number x2 = π2 is irrational, therefore x = π is irrational.