Question

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

Answer 1

Equal Set: Exact same elements in them ,even though they could be out of order.

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

So, A=B

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

A is not equal to B.

Because 12 is not avilable in set B.And 18 is not present in set A.

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

A is not equal to B.Because in B={2,4,6,8} 10 is excluded.

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

A is not equal to B.Because A={10,20,30,40,......} is multiple of 10 while B = {10, 15, 20, 25, 30, …} is multiple of 5.