# NCERT Class 11-Math's Exemplar Chapter 1 Sets CBSE Board Problems

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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):