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

1. A=B because all the element of setA is same as set B......
2. A not equal to B.
because elements of setA is different as compare to set B....
3. A is not equal to B.
set B doesn't contain the element 10 because in set B it is said that (x) should be smaller than 10....
4. set A is not equal to set B.
because the element of set A are the multiple of 10,,,,but in set B , the elements are not the multiple of 10.....

Answer 2

Answer:

1) A=B all the elements in both sets are equal

2) A not equal to B all the elements of both sets is different

3) A=B because B= positive even integers and x is less than 10 so {2,4,6,8,10} both the elements are equal

4) A not equal to B because A= multiple of 10 but in B= { 10,15,20,25,30,....} 15 and 25 are not multiple of 10