Advertisements
Advertisements
प्रश्न
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:
\[A \cup C\]
उत्तर
Given:
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}
\[A \cup C\]={1, 2, 3, 4, 5, 7, 8, 9, 10, 11}
APPEARS IN
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)'
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 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:
\[A \cup B \cup C\]
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:
\[B \cup C \cup D\]
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:
\[\left( A \cup D \right) \cap \left( B \cup C \right)\]
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: \[A \cap B\]
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: \[A \cap D\]
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: \[B \cap D\]
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: \[C \cap D\]
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: \[C - A\]
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: \[D - A\]
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 diagram.
(1) All teachers are scholars and scholars are teachers.
(2) If a quadrilateral is a rhombus then it is a parallelogram..
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 :
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
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 :
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.
Some hardworking students are obedient.
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.
Draw the Venn diagrams to illustrate the following relationship among sets E, M and U, where E is the set of students studying English in a school, M is the set of students studying Mathematics in the same school, U is the set of all students in that school.
All the students who study Mathematics study English, but some students who study English do not study Mathematics.
Draw the Venn diagrams to illustrate the following relationship among sets E, M and U, where E is the set of students studying English in a school, M is the set of students studying Mathematics in the same school, U is the set of all students in that school.
Not all students study Mathematics, but every students studying English studies Mathematics.
Let U be the set of all boys and girls in a school, G be the set of all girls in the school, B be the set of all boys in the school, and S be the set of all students in the school who take swimming. Some, but not all, students in the school take swimming. Draw a Venn diagram showing one of the possible interrelationship among sets U, G, B and S.
Draw Venn diagram for the following:
No policeman is thief