Advertisements
Advertisements
Question
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.
Advertisements
Solution
Since there is no student who study both English and Mathematics
Hence, E ∩ M = φ
APPEARS IN
RELATED QUESTIONS
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'
Draw Venn diagram for the truth of the following statements :
Some rectangles are squares.
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:
\[\left( A \cap B \right) \cap \left( B \cap C \right)\]
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: \[C \cap D\]
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: \[A - D\]
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: \[C - A\]
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: \[B - D\]
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}
Represent the union of two sets by Venn diagram for the following.
Y = {y | y is an odd number between 90 and 100}
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 :
(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:
B - A
Use the given Venn-diagram to find :
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 :
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
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)'

Draw a Venn diagram for the truth of the following statement.
Some share brokers are chartered accountants.
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.
All the students who study Mathematics study English, but some students who study English do not study Mathematics.
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.
