The AP SSC Class 10 Maths Chapter 2 Sets discusses the different types of set and the representation of a set using a Venn diagram. In this article, let us understand what a set is and solve a few problems related to sets.

## What is a Set?

A well-defined collection of objects is known as a set. By well defined, we mean

- Presence of a common feature or property in all the objects of a set
- A clear distinction of whether a given object belongs to the set or not.

A set is written in a roster form where all elements of a set are written, separated by commas, within { } curly brackets. A set that does not contain any element is known as a Null set. Venn diagrams are used to represent various functions between sets.

## AP Class 10 Maths Chapter 2 Sets Questions

- Let A = {0, 1, 2, 3, 4}; B = {3, 4, 5, 6}. Find A – B. Show the Venn diagram representation.

**Solution**:

For A – B, consider the elements which are in A but not in B.

Therefore, A – B ={0,1,2}

Similarly, for B – A consider the elements which are in B but not in A.

Therefore, B – A = {5,6}

Hence, we can conclude that A – B ≠ B – A

The Venn diagram representation of A – B and B – A is given as

- If A and B are two sets such that A ⊂ B then what is A ∪ B?

**Solution:**

** **Let us consider A ={1,2} and B={1,2,3},

Every element of A is in B, hence A ⊂ B.

A ∪ B = {1,2} ∪ {1,2,3}

= {1,2,3}

A ∪ B = B

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