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 :–
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