# Sets ICSE Class-8th RS Aggarwal Maths Goyal Brothers

**Sets ICSE Class-8th RS** Aggarwal Solutions Mathematics Goyal Brothers Prakashan Chapter-5. We provide step by step Solutions of Exercise / lesson-5 **Sets** for **ICSE Class-8 RS** Aggarwal Mathematics.

Our Solutions contain all type Questions of Exe-5 A, Exe-5 B, Exe-5 C, Exe-5 D (MCQ) and Mental maths with Notes to develop skill and confidence. Visit official Website **CISCE** for detail information about ICSE Board Class-8 Mathematics.

**Sets ICSE Class-8th RS** Aggarwal Solutions Mathematics Goyal Brothers Prakashan Chapter-5

**–: Select Topics :–**

### Definition of Sets

Sets are represented as a collection of well-defined objects or elements and it does not change from person to person. A set is represented by a capital letter symbol and the number of elements in the finite set is represented as the cardinal number of a set.

### Operations on Sets

In set theory, the operations of the sets are carried when two or more sets combined to form a single set under some of the given conditions. The basic operations on sets are:

- Union of sets
- Intersection of sets
- A complement of a set
- Cartesian product of sets.
- Set difference

### Types of Sets

**Empty Set:**A set which does not contain any element is called an empty set or void set or null set. It is denoted by { } or Ø.**Singleton Set:**A set which contains a single element is called singleton set**Finite set:**A set which consists of a definite number of elements is called finite set**Infinite set:**A set which is not finite is called infinite set**Equivalent set**: If the cardinal number of the two finite sets are equal, then it is called an equivalent set. I.e, n(A) = n(B)**Equal sets:**The two sets A and B are said to be equal if they have exactly the same elements**Subsets:**A set ‘A’ is said to be a subset of B if every element of A is also an element of B. Intervals are subsets of R**Disjoint Sets**: The two sets A and B are said to be disjoint if the set does not contain any common element**Proper set:**If A ⊆ B and A ≠ B, then A is called the proper set of B and it can be written as A⊂B

### Sets Formulas

Some of the most important set formulas are:

For any three sets A, B and C |

n ( A ∪ B ) = n(A) + n(B) – n ( A ∩ B) |

If A ∩ B = ∅, then n ( A ∪ B ) = n(A) + n(B) |

n( A – B) + n( A ∩ B ) = n(A) |

n( B – A) + n( A ∩ B ) = n(B) |

n( A – B) + n ( A ∩ B) + n( B – A) = n ( A ∪ B ) |

n ( A ∪ B ∪ C ) = n(A) + n(B) + n(C) – n ( A ∩ B) – n ( B ∩ C) – n ( C ∩ A |

**Exercise – 5 A**, **Sets ICSE Class-8th RS** Aggarwal Solutions Mathematics Goyal Brothers Prakashan

#### Question 1

which of the following collection of objects are set ?

(i)……………..

…………………

#### Question 2

Rewrite the following statements using set notation :

(i)…………

……………..

#### Question 3

………………….

………………….

…………………

#### Question 8

State weather the following statement are true or false :

(i)…………..

…………….

**Sets Exe-5 B for ICSE Class-8th **Mathematics **RS** Aggarwal Solutions of Goyal Brothers Prakashan

**Question 1 **

Write down the following statements, using set notation :

(i)…………….

………………….

#### Question 2

Let A = …………………… statements are true and false.

……………………..

#### Question 3

……………………..

…………………….

……………………….

#### Question 12

Let ξ= ………………………… statements are true and false.

**RS** Aggarwal Solutions **Sets Exercise-5 C** for **ICSE Class-8th **Mathematics Goyal Brothers Prakashan

#### Question 1

Let A = {a, b, c, d} , B= {b, c, e} and C= {a, b, e} find:

(i)…………

…………………

#### Question 2

Let A = {2, 3, 4, 6} , B= {5, 7, 8} and C= {2, 7, 8, 9} find:

…………………….

#### Question 3

……………………

……………………

……………………

#### Question 11

Let ξ …………………. Then verify the following ..

……………………..

……………………

**Exercise – 5 D** MCQ Sets RS Aggarwal Solutions for ICSE Class-8 Goyal Brothers Prakashan

choose the correct option in each of the following

#### Question 1

If A = {1}, which of the following statement is correct

#### Question 2

……………………..

………………………

…………………..

………………….

#### Question 21

If A ⊆ B, then A ∪ B is equal to

……………………..

**Mental Maths,** Chapter-5 Sets for ICSE Class-8 Mathematics

( RS Aggarwal Goyal Brothers Prakashan )

#### Question 1

fill in the blanks :

#### Question 2

write true or false :

–: End of **Sets ICSE Class-8th RS Aggarwal** Solutions :–

Return to- **RS Aggarwal Solutions for ICSE Class-8 Goyal Brothers Prakashan**

Thanks