Q3 of 21 Page 14

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

All integers are positive or negative.

The component statements are:


p: All integers are positive.


q: All integers are negative.


As both p and q are false.


The correct word is “or”.


More from this chapter

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1

Is “x + 2 = 9” a statement or proposition?

 2

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

 4

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.

 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.