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Question
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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Solution
(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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