# NCERT Class 11-Math՚S Exemplar Chapter 1 Sets CBSE Board Problems (For CBSE, ICSE, IAS, NET, NRA 2022)

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Question 20:

, where Q is the set of rational numbers and R is the set of real numbers.

Answer: True

Since

So

## EXERCISE

### Short Answer Type

Question 1:

Write the following sets in the roaster from

(i)

(iii) is a positive factor of a prime number

Answer:

(i)

(ii)

(iii)

Question 2:

Write the following sets in the roaster form:

(i)

(ii)

(iii)

Answer:

(i)

(ii)

(iii)

Question 3:

If is a positive factor of the number , where is a prime number} . Write Y in the roaster form.

Answer:

Question 4:

State which of the following statements are true and which are false. Justify your answer.

(i) .

(ii)

(iii)

(iv)

Answer:

(i) True

(ii) False

(iii) True

(iv) True

Question 5:

Given and

Verify that

Answer:

Given:

To verify:

Formula used:

The union of two sets is a set containing all elements that are in both sets.

For example:

The difference (subtraction) is defined as: The set consists of elements that are in A but not in B.

For example: if and , then

The intersection of two sets A and B, consists of all elements that are both in A and B.

For example:

Therefore,

and

and

and

Clearly, from (1) and (2) :