Represent the truth of the following statement by the Venn diagram. No circles are polygons. - Mathematics and Statistics

Advertisements
Advertisements
Sum

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

No circles are polygons.

Advertisements

Solution

Let U : The set of all closed geometrical figures in plane.
P : The set of all polygons
C : The set of all circles.

The above Venn diagram represents truth of the given statement, P ∩ C = φ

Concept: Venn Diagrams
  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

Express the truth of each of the following statements by Venn diagram:

(a) Some hardworking students are obedient.

(b) No circles are polygons.

(c) All teachers are scholars and scholars are teachers. 


Draw appropriate Venn diagram for the following:

A' ∩ B'


Draw appropriate Venn diagram for the following:

(A ∩ B)'


Draw appropriate Venn diagram for the following:

A' ∪ B'


In a survey it was found that 21 people liked product A, 26 liked product B and 29 liked product C. If 14 people liked products A and B, 12 people liked products C and A, 14 people liked products B and C and 8 liked all the three products. Find how many liked product C only.


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

All rational number are real numbers. 


Draw Venn diagram for the truth of the following statements : 

Some rectangles are squares. 


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

\[A \cap B\]

 


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:  

\[B \cup C\]


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: 

\[A \cup B \cup C\]

 


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: 

\[A \cup B \cup D\]


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:

\[B \cup C \cup D\]

 


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: 

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


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: \[A \cap B\]

 


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


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: \[A - C\] 


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: \[A - D\] 


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: 

\[B - A\] 


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: \[D - A\]


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: \[B - C\]


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


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}


U = {1, 2, 3, 7, 8, 9, 10, 11, 12}
P = {1, 3, 7, 10} then
  1. show the sets U, P and P' by the Venn diagram.
  2. Verify (P')' = P

In a class, 8 students out of 28 have a dog as their pet animal at home, 6 students have a cat as their pet animal. 10 students have dog and cat both, then how many students do not have a dog or cat as their pet animal at home?


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

A = {3, 4, 5, 7}  B = {1, 4, 8}


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}


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 the following statements with the help of Venn diagram:
(a) No circles are polygon
(b) If a quadrilateral is rhombus , then it is a parallelogram .


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.


Express the truth of each of the following statements by Venn diagram :
(a) Some hardworking students are obedient.
(b) No circles are polygons.
(c) All teachers are scholars and scholars are teachers.


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


From the given diagram, find: 
(i) A’ 
(ii) B’ 
(iii) A' ∪ B' 
(iv) (A ∩ B)'

Is A' ∪ B' = (A ∩ B)' ?

Also, verify if A' ∪ B' = (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 :
B' ∩ A


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)'


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


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


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


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


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.

All teachers are scholars and scholars are teachers.


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.

Some share brokers are chartered accountants.


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.

Some non-resident Indians are not rich.


Represent the following statement by the Venn diagram.

No circle is rectangle.


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.


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.

There is no student who studies both Mathematics and English.


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.

Not all students study Mathematics, but every students studying English studies Mathematics.


Let U be the set of all boys and girls in a school, G be the set of all girls in the school, B be the set of all boys in the school, and S be the set of all students in the school who take swimming. Some, but not all, students in the school take swimming. Draw a Venn diagram showing one of the possible interrelationship among sets U, G, B and S.


Draw Venn diagram for the following:

No policeman is thief


Draw Venn diagram for the following:

Some doctors are rich


Draw Venn diagram for the following:

Some students are not scholars


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

X = {x | x ∈ N, and 7 < x < 15}


Share
Notifications



      Forgot password?
Use app×