Home
Class 12
MATHS
Consider the following sets: A= set o...

Consider the following sets:
A= set ofnaturai numbers which are multiples of 2
B= set ofnaturai numbers which are multiples of 3
C= set ofnaturai numbers which are multiples of 5
Then find the following set
`(i) A cup B (ii) B cup C (iii) A- B (iv) B-C (v)A cap C
(vi) A cap B cap C (vii) ( A cup B )- C`

Text Solution

AI Generated Solution

To solve the problem, we will define the sets A, B, and C based on the given information and then perform the required set operations step by step. ### Step 1: Define the Sets - **Set A**: The set of natural numbers which are multiples of 2. \( A = \{2, 4, 6, 8, 10, 12, 14, 16, 18, 20, \ldots\} \) - **Set B**: The set of natural numbers which are multiples of 3. \( B = \{3, 6, 9, 12, 15, 18, 21, 24, 27, 30, \ldots\} \) ...
Promotional Banner

Topper's Solved these Questions

  • SET THEORY AND REAL NUMBER SYSTEM

    CENGAGE ENGLISH|Exercise Solved Exp|11 Videos

  • SET THEORY AND REAL NUMBER SYSTEM

    CENGAGE ENGLISH|Exercise Concept Application Exercise 1.1|12 Videos

  • SCALER TRIPLE PRODUCTS

    CENGAGE ENGLISH|Exercise DPP 2.3|11 Videos

  • SOLUTIONS AND PROPERTIES OF TRIANGLE

    CENGAGE ENGLISH|Exercise Comprehension Type|6 Videos

Similar Questions

Explore conceptually related problems

Write the following sets in roster form : the set of whole numbers which are multiples of 5

From the given diagram find: (i) A cup B (ii) A' cap B (iii) A-B (iv) B-A (v) (A cup B)'

If sets A =[-4,1] and B=[0,3), then find the following sets: (a) A cap B " (b) "A cup B " (c ) "A-B (d) B-A " (e ) "(A cup B)' " (f) " (A cap B)'

Use the given diagram to find: (i) A cup (B cap C) (ii) B-(A -C) (iii) A-B (iv) A cap B' is A cap B' = A -B ?

From the adjoining Venn diagram , find the following sets : (i) A (ii) B (III) A cup B (iv) A cap B

If A={1,2,3,4},B={3,4,5},C={1,5,6} , then findof the following : (i) A cup B (ii) A cup (B cap C) (ii) A - B (iv) A - (B cup C) .

Consider the following sets: A = set all rectangles in the same plane B = set all squares in the same plane C = set all parellegrams in the same plane Find the following sets : (i) A-B (ii) C-A (iii) A cap C (iv) B cap C (v) B cup C (Vi ) A cap B cup C

If A{1,2,3},B={3,4}and C={4,5,6} , then find the each of the following : (i) A cap(B cupC) (ii) (A-B)cupC (iii) (A cupB)-C (iv) (A cap B)cup C .

Prove A cup (B cap C)=(A cup B) cap(A cup C)

The set of the counting numbers which are multiple of 6 and less than 50 is written in set builder form as