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प्रश्न
Express the truth of each of the following statements using Venn diagram.
(1) All teachers are scholars and scholars are teachers.
(2) If a quadrilateral is a rhombus then it is a parallelogram..
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उत्तर
(1) Let U : Set of all human beings.
A : Set of a ll teachers.
B : Set of all scholars.
(2) Let U : Set of all quadrilaterals.
A : Set of all rhombus.
B: Set of all parallelogram.
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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 a Venn diagram for the truth of the following statement :
All rational number are real numbers.
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: \[A \cap C\]
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 U = {1, 2, 3, 4, 5, 6, 7, 8, 9}, A = {2, 4, 6, 8} and B = {2, 3, 5, 7}. Verify that \[\left( A \cup B \right)' = A' \cap B'\]
Take the set of natural numbers from 1 to 20 as universal set and show set Y using Venn diagram.
Y = {y | y ∈ N, y is prime number from 1 to 20}
- show the sets U, P and P' by the Venn diagram.
- Verify (P')' = P
From the given diagram find :
A' ∩ B
Draw a Venn-diagram to show the relationship between two overlapping sets A and B. Now shade the region representing :
B - A
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: (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)
Using the given diagram, express the following sets in the terms of A and B. {a, d, c, f}
Using the given diagram, express the following sets in the terms of A and B. {a, d, g, h}
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.
Draw Venn diagram for the following:
Some doctors are rich
