# Find the intersection of each pair of sets of question 1 above

(i) X = {1, 3, 5} Y = {1, 2, 3}

(ii) A ={a, e, i, o, u} B = {a, b, c}

(iii) A = { x : x is a natural number and multiple of 3} B = { x : x is a natural number less than 6}

(iv) A = { x : x is a natural number and 1 < x ≤ 6 } B = { x : x is a natural number and 6 < x < 10}

(v) A = {1, 2, 3} B = Φ

**Solutions:**

The intersection of two sets A and B is a set that is obtained by writing all the elements that are common in both sets A and B. Thus,

**(i)** X = {1, 3, 5} Y = {1, 2, 3}

**X ∩ Y = {1, 3}**

**(ii)** A ={a, e, i, o, u} B = {a, b, c}

**A ∩ B = {a}**

**(iii)** A = { x : x is a natural number and multiple of 3}

B = { x : x is a natural number less than 6}

**A ∩ B = {3}**

**(iv)** A = { x : x is a natural number and 1 < x ≤ 6}

B = { x : x is a natural number and 6 < x < 10}

**A ∩ B = Φ**

**(v)** A = {1, 2, 3} B = Φ

**A ∩ B = Φ**

NCERT Solutions Class 11 Maths Chapter 1 Exercise 1.4 Question 5

## Find the intersection of each pair of sets of question 1 above: (i) X = {1, 3, 5} Y = {1, 2, 3} (ii) A ={a, e, i, o, u} B = {a, b, c} (iii) A = { x : x is a natural number and multiple of 3} B = { x : x is a natural number less than 6} (iv) A = { x : x is a natural number and 1 < x ≤ 6 } B = { x : x is a natural number and 6 < x < 10} (v) A = {1, 2, 3} B = Φ

**Summary:**

We are asked to find the intersection of each pair of sets given. We found that

**(i)** For X = {1, 3, 5} Y = {1, 2, 3}, **X ∩ Y = {1, 3}
(ii)** For A ={a, e, i, o, u} B = {a, b, c},

**A ∩ B = {a}**

(iii)For A = { x : x is a natural number and multiple of 3} B = { x : x is a natural number less than 6}, A ∩ B = {3}

(iii)

**(iv)**For A = { x : x is a natural number and 1 < x ≤ 6} B = { x : x is a natural number and 6 < x < 10},

**A ∩ B = Φ**

(v)For A = {1, 2, 3} B = Φ,

(v)

**A ∩ B = Φ**