Question

If B-A is B,then A intersection B is?Reason​

Answer 1

Answer:

A intersection B is a null set

Answer 2

Answer:

The intersection of sets A and B, (A∩B) is found to be Null set (Ф).

Step-by-step explanation:

The intersection of two given sets, A and B, is the set/collection of all the possible elements of set A and B that are common between both the sets, A and B.

The subtraction of two sets, A-B, yields a resulting set that contains the remaining elements of A after eliminating the elements that are common between both sets A and B.

Now, we are given that the subtraction of two sets, B - A = B, that means after removing the common elements of A from set B, the set formed is equal to set B.

It is only possible if there is no element common between the sets A and B. Thus, The set containing the common elements of the sets A and B will be a null set.

Thus, we can say that the intersection of sets A and B is a null set, i.e.:

A∩B = Ф