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}
(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, A ∩ B = Φ