English

Represent the truth of the following statement by Venn diagram. Some hardworking students are obedient.

Advertisements
Advertisements

Question

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

Some hardworking students are obedient.

Sum
Advertisements

Solution

Let U : The set of all students.
H : The set of all hardworking students.
O : The set of all obedient students.

The above Venn diagram represents truth of the given statement, H ∩ O ≠ φ

shaalaa.com
  Is there an error in this question or solution?
Chapter 1: Mathematical Logic - Exercise 1.10 [Page 27]

APPEARS IN

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 = {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: 

\[A \cup C\]


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: 

\[A \cup B \cup C\]

 


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: 

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


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: \[A \cap D\]

 


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 = {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: 

\[B - A\] 


Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9}, A = {2, 4, 6, 8} and B = {2, 3, 5, 7}. Verify that \[\left( A \cup B \right)' = A' \cap B'\]


Express the truth of each of the following statements using Venn diagrams: 

(a) No circles are polygons

(b) Some quadratic equations have equal roots 


Express the truth of each of the following statements using Venn diagram.
(1) All teachers are scholars and scholars are teachers.
(2) If a quadrilateral is a rhombus then it is a parallelogram..


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 :
B'


Two sets A and B are such that A ∩ B = Φ. Draw a venn-diagram to show the relationship between A and B. Shade the region representing :
A ∪ B


Two sets A and B are such that A ∩ B = Φ. Draw a venn-diagram to show the relationship between A and B. Shade the region representing :
B ∩ A'


State the sets representing by the shaded portion of following venn-diagram :


In the given diagram, shade the region which represents the set given underneath the diagrams: (A ∩ B)'


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


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.

Some persons are not politician.


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.

There is no student who studies both Mathematics and English.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×