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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.
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उत्तर
(a) Some hardworking students are obedient.
Let H: set of hardworking students
O: Set of obedient students
U: Set of all students
from Venn diagram the truth value is H ∩ O
(b) No circles are polygons.
Let C: Set of all circles
P: Set of all polygons
U:set of all closed figures
From Venn diagram the truth value is
C ∩ P= Φ
(c) All teachers are scholars and scholars are teachers.
Let T: Set of all teachers
S: Set of all scholars
U: Set of all human beings
From Venn diagram the truth value is T=S
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संबंधित प्रश्न
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 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\[B \cup D\]
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 = {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: \[D - A\]
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: \[B - D\]
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 :
B - A
Use the given Venn-diagram to find :
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.
No circles are polygons.
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.
Represent the following statement by the Venn diagram.
Some non-resident Indians are not rich.
