In the following, state whether A = B or not:
(i) A = { a, b, c, d } B = { d, c, b, a }
(ii) A = { 4, 8, 12, 16 } B = { 8, 4, 16, 18}
(iii) A = {2, 4, 6, 8, 10} B = { x : x is positive even integer and x ≤ 10}
(iv) A = { x : x is a multiple of 10}, B = { 10, 15, 20, 25, 30, . . . }

Solution:

(i) A = {a, b, c, d} B = {d, c, b, a}

The elements of sets A and B are same though the order is different.

Therefore, A = B

(ii) A = {4, 8, 12, 16}; B = {8, 4, 16, 18}

We see that 12 ∈  A but 12 ∉ B .

Therefore, A ≠ B

(iii) A = {2, 4, 6, 8, 10} B = {x : x is positive even integer and x ≤ 10}

We see that B = {2, 4, 6, 8, 10}

Therefore, A = B

(iv) A = {x : x is a multiple of 10} B = {10, 15, 20, 25, 30...}

A = {10, 20, 30...}

We see that 15 ∉ B but 15 ∉ A.

Therefore, A ≠ B

NCERT Solutions Class 11 Maths Chapter 1 Exercise 1.2 Question 4

In the following, state whether A = B or not: (i) A = { a, b, c, d } B = { d, c, b, a } (ii) A = { 4, 8, 12, 16 } B = { 8, 4, 16, 18} (iii) A = {2, 4, 6, 8, 10} B = { x : x is positive even integer and x ≤ 10} (iv) A = { x : x is a multiple of 10}, B = { 10, 15, 20, 25, 30, . . . }

Summary:

We are asked to check whether A = B or not. We found that
(i) For A = { a, b, c, d } B = { d, c, b, a }, A = B
(ii) For A = { 4, 8, 12, 16 } B = { 8, 4, 16, 18}, A ≠ B
(iii) For A = {2, 4, 6, 8, 10} B = { x : x is positive even integer and x ≤ 10}, A = B
(iv) For A = { x : x is a multiple of 10}, B = { 10, 15, 20, 25, 30, . . . }, A ≠ B