Advertisements
Advertisements
Question
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..
Advertisements
Solution
(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.
APPEARS IN
RELATED QUESTIONS
Draw appropriate Venn diagram for the following:
A' ∩ B'
Draw Venn diagram for the truth of the following statements :
Some rectangles are squares.
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:
\[A \cup B\]
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:
\[A \cup B \cup C\]
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: \[A - C\]
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}
Represent the union of two sets by Venn diagram for the following.
A = {3, 4, 5, 7} B = {1, 4, 8}
Represent the union of two sets by Venn diagram for the following.
Y = {y | y is an odd number between 90 and 100}
Express the truth of each of the following statements using Venn diagrams:
(a) No circles are polygons
(b) Some quadratic equations have equal roots
Use the given Venn-diagram to find :
A
Use the given Venn-diagram to find :
A ∩ B
Draw a Venn-diagram to show the relationship between two overlapping sets A and B. Now shade the region representing :
A ∩ B
Draw a Venn-diagram to show the relationship between two overlapping sets A and B. Now shade the region representing :
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
State the sets representing by the shaded portion of following venn-diagram :
Using the given diagram, express the following sets in the terms of A and B. {a, d, g, h}

Draw Venn diagram for the following:
No policeman is thief
Take the set of natural numbers from 1 to 20 as universal set and show set X using Venn diagram.
X = {x | x ∈ N, and 7 < x < 15}
