Advertisements
Advertisements
Question
Express the truth of each of the following statements using Venn diagrams:
(a) No circles are polygons
(b) Some quadratic equations have equal roots
Advertisements
Solution
(a) Let u: The set of closed geometrical figures in the plane.
Let A: The set of all polygons and
B: The set of all circles
Hence the following is the Venn diagram.
(b) Let u: The set of all equations.
Let A: The set of all quadratic equations and
B: The set of all quadratic, equations having equal roots.
Hence the following is the Venn d6agram.
APPEARS IN
RELATED QUESTIONS
Draw appropriate Venn diagram for the following:
A' ∩ B'
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 and B are two set such that \[A \subset B\]then find:
\[A \cap B\]
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:
\[A \cap \left( B \cup C \right)\]
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: \[B \cap C\]
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}
Using the Venn diagram, examine the logical equivalence of the following statements:
(a) Some politicians are actors.
(b) There are politicians who are actors.
(c) There are politicians who are not actors.
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 sets A and B; such that A ⊆ 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 :
(A ∪ B)'
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.
All teachers are scholars and scholars are teachers.
Represent the following statement by the Venn diagram.
Some non-resident Indians are not rich.
Represent the following statement by the Venn diagram.
No circle is rectangle.
Draw Venn diagram for the following:
No policeman is thief
Draw Venn diagram for the following:
Some doctors are rich
Draw Venn diagram for the following:
Some students are not scholars
