## CHAPTER – 1

__SETS__

If you are class 10 students then you might be familiar with Sets. In sets we study about various subtopics. So, let’s have a surface knowledge about them before we head towards the solution of class 10 sets chapter.

**What is set (in mathematics)?**

The collection of well-defined distinct objects is known as a set. The word well-defined refers to a specific property which makes it easy to identify whether the given object belongs to the set or not. The word ‘distinct’ means that the objects of a set must be all different.

*For example: *

*1. The collection of children in class VII whose weight exceeds 35 kg represents a set.*

**Elements of Set:**

The different objects that form a set are called the elements of a set. The elements of the set are written in any order and are not repeated. Elements are denoted by small letters.

**Notation of a Set:**

A set is usually denoted by capital letters and elements are denoted by small letters

If x is an element of set A, then we say x ϵ A. [x belongs to A]

If x is not an element of set A, then we say x ∉ A. [x does not belong to A]

* For example:*The collection of vowels in the English alphabet.

*Let us denote the set by V, then the elements of the set are a, e, i, o, u or we can say, V = [a, e, i, o, u].*

**Solution :**

We say a ∈ V, e ∈ V, i ∈ V, o ∈ V and u ∈ V.

Also, we can say b ∉ V, c ∉ v, d ∉ v, etc.

## Class 10 Mathematics Sets Solution PDF

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## Is Class 10 Math Guide Helpful For Student ?

I have published this Notes for helping students who can’t solve difficult maths problems. Student should not fully depend on this note for doing all exercises. If you totally depend on this note and simply copy a to z then it may affect your study.

Student should also try to solve some problems themselves. You can use this note as a reference. You should check all the answers carefully because all the answers may not be correct. There may be some minor mistakes in the note, please consider those mistakes.

## How to secure good marks in Mathematics ?

As, you may know I’m also a student. Being a student is not so easy. You have to study and work hard in 8 different subjects. From my point of view most of the student are weak in mathematics. They face difficulties while solving maths problems. I was also facing the same problem when I was in grade 10.

If you also want to secure good marks in mathematics then you should practise them everyday. You should always start your practise from a simple problems. When you solve some simple problems then it will motivates you to solve some other harder problem. Slowly and gradually increase the difficulty of questions day by day.

Maths is not only about practising. You also needs to be clear about the concept of solving the problems. When you get the concept then you can easily solve maths problems which are in similar formats.

You should make the habit of making side notes. It means you should make notes of formulas, tips of solving that problems and the main concept.

When your teacher tries to make the concept clear by giving some random example then all student tries to remember the same example but you shouldn’t do that. You should try to relate that concept with your daily life and create your own formula of remembering the concepts.

If you give proper time for your practise with proper method of practising then you’ll definitely score a good marks in your Exam. You can also make a time table for your study and read accordingly.

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