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प्रश्न
Represent the truth of the following statement by the Venn diagram.
Some hardworking students are obedient.
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उत्तर
Let U : The set of all students.
H : The set of all hardworking students.
O : The set of all obedient students.
The above Venn diagram represents truth of the given statement, H ∩ O ≠ φ
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संबंधित 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.
Draw appropriate Venn diagram for the following:
A' ∩ B'
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\[A \cup B\]
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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:
\[\left( A \cup D \right) \cap \left( B \cup C \right)\]
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U = {1, 2, 3, 7, 8, 9, 10, 11, 12}
P = {1, 3, 7, 10} then
- show the sets U, P and P' by the Venn diagram.
- Verify (P')' = P
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A = {3, 4, 5, 7} B = {1, 4, 8}
Represent the union of two sets by Venn diagram for the following.
P = {a, b, c, e, f} Q = {l, m, n, e, b}
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
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 :
B ∩ A'
State the sets representing by the shaded portion of following venn-diagram :
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: (B - A)'
In the given diagram, shade the region which represents the set given underneath the diagrams: (A ∩ 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)
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