Q2 of 21 Page 14

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

The given statement is p: The number 3 is less than 6


So,


∼ p: The number 3 is not greater than 6.


OR


∼ p: The number 3 is less than equal to 6.


OR


∼ p: It is false that the number 3 is greater than 7.


More from this chapter

All 21 →
1

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

 3

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

All integers are positive or negative.

 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.