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.
All the students who study Mathematics study English, but some students who study English do not study Mathematics.
Advertisements
Solution
Since all of the students who study mathematics study English, but some students who study English do not study Mathematics
Therefore,
Thus the Venn Diagram is M ⊂ E ⊂ U
APPEARS IN
RELATED QUESTIONS
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.
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:
\[A \cup B \cup C\]
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: \[B \cap C\]
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: \[C \cap D\]
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:
\[B - A\]
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: \[B - D\]
Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9}, A = {2, 4, 6, 8} and B = {2, 3, 5, 7}. Verify that \[\left( A \cup B \right)' = A' \cap B'\]
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 .
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.
From the given diagram find :
A ∪ B
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?
Use the given Venn-diagram to find :
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
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
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
In the given diagram, shade the region which represents the set given underneath the diagrams: (B - A)'

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

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

Represent the truth of the following statement by the Venn diagram.
All teachers are scholars and scholars are teachers.
Draw a Venn diagram for the truth of the following statement.
Some share brokers are chartered accountants.
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.
Some of the students study Mathematics but do not study English, some study English but do not study Mathematics, and some study both.
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.
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}
