Advertisements
Advertisements
प्रश्न
- show the sets U, P and P' by the Venn diagram.
- Verify (P')' = P
Advertisements
उत्तर
(i) We have, U = {1, 2, 3, 7, 8, 9, 10, 11, 12} and P = {1, 3, 7, 10}
P' = U - P = {2, 8, 9, 11, 12}
(ii) U = {1, 2, 3, 7, 8, 9, 10, 11, 12} and P = {1, 3, 7, 10}
P' = {2, 8, 9, 11, 12}
∴ (P')' = U - P' = {1, 3, 7, 10}
∴ (P')' = P
APPEARS IN
संबंधित प्रश्न
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:
\[A \cup C\]
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:
\[B \cup C\]
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:
\[A \cup B \cup C\]
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 = {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: \[A - D\]
From the given diagram 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
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)'
In the given diagram, shade the region which represents the set given underneath the diagrams: (A ∩ B)'
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 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}
