English

Draw Venn Diagram for the Truth of the Following Statements : All Rational Number Are Real Numbers.

Advertisements
Advertisements

Question

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

All rational number are real numbers. 

Diagram
Advertisements

Solution

All rational number are real numbers. 

Let U: The set of all complex numbers. 

A: The set of all rational numbers. 

B: The set of all real numbers. 

 

 

shaalaa.com
  Is there an error in this question or solution?
2017-2018 (March)

APPEARS IN

Video TutorialsVIEW ALL [1]

RELATED QUESTIONS

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\[B \cup D\]

 


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: 

\[A \cup B \cup D\]


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: \[A \cap C\] 

 


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: \[B \cap D\]


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: \[C \cap D\]


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

A = {3, 4, 5, 7}  B = {1, 4, 8}


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?


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 overlapping sets A and 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 :
B' ∩ A


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


From the given diagram, find :
(i) (A ∪ B) - C

(ii) B - (A ∩ C)

(iii) (B ∩ C) ∪ A

Verify :
A - (B ∩ C) = (A - B) ∪ (A - C) 


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

Some hardworking students are obedient.


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.


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.


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

Englishहिंदीमराठी


      Forgot password?
Use app×