1.

If A={1,2,3,4,5} B={2,4} C={1,3,5} Find AnB, BnC; A-B, B-A​

Answer»

Given,

  • A = {1,2,3,4,5}
  • B = {2,4}
  • C = {1,3,5}

We have to find,

  • A ⋂ B
  • B ⋂ C
  • A - B
  • B - A

_________________________________

Firstly, A ⋂ B is a set of elements that are both in set A and set B.

⇒ A ⋂ B = {2,4}

Since, Only 2 & 4 are common in SETS A and B.

_________________________________

Similarly, B ⋂ C is a set of elements that are both in set A and set B.

⇒ B ⋂ C = {1,3,5}

Since, Only 1, 3 & 5 are common in sets B and C.

_________________________________

Here, A - B signifies elements that are present only in set A and not B.

⇒ A - B = {1,3,5}

Since, 2 & 4 are present in both sets and 1,3 & 5 are only in set A.

_________________________________

Similarly, B - A signifies elements that are present only in set B and not in set A.

⇒ B - A = ɸ

Because, There are no elements of set B that are not present in set A. as B ⊂ A


Discussion

No Comment Found

Related InterviewSolutions