हिंदी

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 - Mathematics

Advertisements
Advertisements

प्रश्न

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.

आकृति
Advertisements

उत्तर

Given that: U = Set of universal

G = Set of girls

B = Set of boys

S = Set of all students, who take swimming.

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 1: Sets - Exercise [पृष्ठ १४]

APPEARS IN

एनसीईआरटी एक्झांप्लर Mathematics [English] Class 11
अध्याय 1 Sets
Exercise | Q 11 | पृष्ठ १४

वीडियो ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्न

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'


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.


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: 

\[A \cup C\]


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:

\[B \cup C \cup D\]

 


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: \[C \cap D\]


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: \[D - A\]


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: \[B - C\]


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

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 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.


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


Use the given Venn-diagram to find :
A


Use the given Venn-diagram to find :
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


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


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}



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

All teachers are scholars and scholars are teachers.


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.

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 Venn diagram for the following:

Some doctors are rich


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×