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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)'
If A and B are two set such that \[A \subset B\]then find:
\[A \cap B\]
If A and B are two sets such that \[A \subset B\] then find:
\[A \cup B\]
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\[A \cup C\]
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\[B \cup D\]
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:
\[A \cup B \cup C\]
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:
\[A \cap \left( B \cup C \right)\]
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:
\[\left( A \cap B \right) \cap \left( B \cap C \right)\]
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From the given diagram find :
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In the given diagram, shade the region which represents the set given underneath the diagrams: (B - A)'
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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.
Draw Venn diagram for the following:
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