English

Let a = {3, 6, 12, 15, 18, 21}, B = {4, 8, 12, 16, 20}, C = {2, 4, 6, 8, 10, 12, 14, 16} and D = {5, 10, 15, 20}. Find: B − D - Mathematics

Advertisements
Advertisements

Question

Let A = {3, 6, 12, 15, 18, 21}, B = {4, 8, 12, 16, 20}, C = {2, 4, 6, 8, 10, 12, 14, 16} and D = {5, 10, 15, 20}.

Find: \[B - D\]

Solution

Given:
A = {3, 6, 12, 15, 18, 21}, B = {4, 8, 12, 16, 20}, C = {2, 4, 6, 8, 10, 12, 14, 16} and D = {5, 10, 15, 20} 

\[B - D\]= {4, 8, 12, 16}

shaalaa.com
  Is there an error in this question or solution?
Chapter 1: Sets - Exercise 1.05 [Page 21]

APPEARS IN

RD Sharma Mathematics [English] Class 11
Chapter 1 Sets
Exercise 1.05 | Q 4.8 | Page 21

Video TutorialsVIEW ALL [1]

RELATED QUESTIONS

Draw appropriate Venn diagram for the following:

(A ∪ B)'


Draw appropriate Venn diagram for the following:

A' ∩ B'


If A and B are two sets such that \[A \subset B\] then find: 

\[A \cup B\]


If A = {1, 2, 3, 4, 5}, B = {4, 5, 6, 7, 8}, C = {7, 8, 9, 10, 11} and D = {10, 11, 12, 13, 14}, find:

\[A \cup B\]

 


If A = {1, 2, 3, 4, 5}, B = {4, 5, 6, 7, 8}, C = {7, 8, 9, 10, 11} and D = {10, 11, 12, 13, 14}, find:  

\[B \cup C\]


If A = {1, 2, 3, 4, 5}, B = {4, 5, 6, 7, 8}, C = {7, 8, 9, 10, 11} and D = {10, 11, 12, 13, 14}, find:

\[B \cup C \cup D\]

 


If A = {1, 2, 3, 4, 5}, B = {4, 5, 6, 7, 8}, C = {7, 8, 9, 10, 11} and D = {10, 11, 12, 13, 14}, find: 

\[\left( A \cup D \right) \cap \left( B \cup C \right)\]


Let \[A = \left\{ x: x \in N \right\}, B = \left\{ x: x - 2n, n \in N \right\}, C = \left\{ x: x = 2n - 1, n \in N \right\}\] and D = {x : x is a prime natural number}. Find: \[A \cap C\] 

 


Let \[A = \left\{ x: x \in N \right\}, B = \left\{ x: x - 2n, n \in N \right\}, C = \left\{ x: x = 2n - 1, n \in N \right\}\] and D = {x : x is a prime natural number}. Find: \[B \cap C\]


Let \[A = \left\{ x: x \in N \right\}, B = \left\{ x: x - 2n, n \in N \right\}, C = \left\{ x: x = 2n - 1, n \in N \right\}\] and D = {x : x is a prime natural number}. Find: \[B \cap D\]


Let A = {3, 6, 12, 15, 18, 21}, B = {4, 8, 12, 16, 20}, C = {2, 4, 6, 8, 10, 12, 14, 16} and D = {5, 10, 15, 20}. Find: \[A - B\] 


Let A = {3, 6, 12, 15, 18, 21}, B = {4, 8, 12, 16, 20}, C = {2, 4, 6, 8, 10, 12, 14, 16} and D = {5, 10, 15, 20}. Find: \[A - D\] 


Take the set of natural numbers from 1 to 20 as universal set and show set Y using Venn diagram.

Y = {y | y ∈ N, y is prime number from 1 to 20}


Represent the union of two sets by Venn diagram for the following.

P = {a, b, c, e, f} Q = {l, m, n, e, b}


Represent the union of two sets by Venn diagram for the following.

X = {x | x is a prime number between 80 and 100}

Y = {y | y is an odd number between 90 and 100}


Using the Venn diagram, examine the logical equivalence of the following statements: 

(a) Some politicians are actors.

(b) There are politicians who are actors.

(c) There are politicians who are not actors.


From the given diagram find : 
A' ∩ B


From the given diagram find : 
(A ∪ B)'


Use the given diagram to find:

(i) A ∪ (B ∩ C)

(ii) B - (A - C)

(iii) A - B

(iv) A ∩ B'

Is A ∩ B' = A - B?


Use the given Venn-diagram to find :
A


Use the given Venn-diagram to find :
A ∩ B


Use the given Venn-diagram to find :
A ∪ B


Draw a Venn-diagram to show the relationship between two overlapping sets A and B. Now shade the region representing :
A ∩ B


Draw a Venn-diagram to show the relationship between two sets A and B; such that A ⊆ B, Now shade the region representing :
A ∩ B


Draw a Venn-diagram to show the relationship between two sets A and B; such that A ⊆ B, Now shade the region representing :
(A ∪ B)'


Using the given diagram, express the following sets in the terms of A and B. {a, d, g, h}


Using the given diagram, express the following sets in the terms of A and B. {g, h}


Represent the truth of the following statement by the Venn diagram.

Some hardworking students are obedient.


Represent the truth of the following statement by the Venn diagram.

If a quadrilateral is a rhombus, then it is a parallelogram.


Draw a Venn diagram for the truth of the following statement.

No wicket keeper is bowler, in a cricket team.


Represent the following statement by the Venn diagram.

If n is a prime number and n ≠ 2, then it is odd.


Express the truth of the following statement by the Venn diagram.

All men are mortal.


Express the truth of the following statement by the Venn diagram.

No child is an adult.


Draw the Venn diagrams to illustrate the following relationship among sets E, M and U, where E is the set of students studying English in a school, M is the set of students studying Mathematics in the same school, U is the set of all students in that school.

Some of the students study Mathematics but do not study English, some study English but do not study Mathematics, and some study both.


Draw Venn diagram for the following:

Some students are not scholars


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×