Advertisements
Advertisements
Question
Express the truth of the following statements with the help of Venn diagram:
(a) No circles are polygon
(b) If a quadrilateral is rhombus , then it is a parallelogram .
Advertisements
Solution
(a) U : set of all geometrical figures.
A : Set of all circles
B : Set of all polygons,
(b) U : set of all quadrilaterals.
P : Set of all parallelogram
R : Set of all rhombuses.
APPEARS IN
RELATED QUESTIONS
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:
\[A \cup B\]
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:
\[A \cup C\]
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:
\[A \cup B \cup D\]
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:
\[A \cap \left( B \cup C \right)\]
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:
\[B - A\]
Represent the union of two sets by Venn diagram for the following.
Y = {y | y is an odd number between 90 and 100}
From the given diagram find :
A ∪ B
Use the given Venn-diagram to find:
B - A
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
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)'
In the given diagram, shade the region which represents the set given underneath the diagrams: (A ∩ B)'
In the given diagram, shade the region which represents the set given underneath the diagrams: (P ∩ Q)'
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, g, h}
Represent the following statement by the Venn diagram.
No circle is rectangle.
Draw Venn diagram for the following:
No policeman is thief
