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प्रश्न
If A and B are two sets such that \[A \subset B\] then find:
\[A \cup B\]
उत्तर
From the Venn diagrams given below, we can clearly say that if A and B are two sets such that \[A \subset B\]
Form the given Venn diagram, we can see that \[A \cup B\]=B
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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 appropriate Venn diagram for the following:
(A ∪ B)'
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\[B \cup D\]
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:
\[A \cup B \cup C\]
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: \[B \cap D\]
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:
\[B - A\]
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: \[B - C\]
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: \[B - D\]
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 by Venn diagram :
(a) Some hardworking students are obedient.
(b) No circles are polygons.
(c) All teachers are scholars and scholars are teachers.
Use the given Venn-diagram to find:
B - A
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
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 :
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'
State the sets representing by the shaded portion of following venn-diagram :
State the sets representing by the shaded portion of following venn-diagram :
In the given diagram, shade the region which represents the set given underneath the diagrams: (B - A)'
Using the given diagram, express the following sets in the terms of A and B. {a, d}
Represent the truth of the following statement by the Venn diagram.
No circles are polygons.
Draw a Venn diagram for the truth of the following statement.
No wicket keeper is bowler, in a cricket team.
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.
Represent the following statement by the Venn diagram.
If n is a prime number and n ≠ 2, then it is odd.
Express the truth of the following statement by the Venn diagram.
Some persons are not politician.
Express the truth of the following statement by the Venn diagram.
No child is an adult.
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.
There is no student who studies both Mathematics and English.
