Advertisements
Advertisements
Question
Represent the union of two sets by Venn diagram for the following.
Y = {y | y is an odd number between 90 and 100}
Advertisements
Solution
X = {x | x is a prime number between 80 and 100} = {83, 89, 97};
Y = {y | y is an odd number between 90 and 100} = {91, 93, 95, 97, 99}

APPEARS IN
RELATED QUESTIONS
In a survey it was found that 21 people liked product A, 26 liked product B and 29 liked product C. If 14 people liked products A and B, 12 people liked products C and A, 14 people liked products B and C and 8 liked all the three products. Find how many liked product C only.
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 = {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: \[A - B\]
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: \[B - C\]
- show the sets U, P and P' by the Venn diagram.
- Verify (P')' = P
Represent the union of two sets by Venn diagram for the following.
P = {a, b, c, e, f} Q = {l, m, n, e, b}
From the given diagram, find:
(i) A’
(ii) B’
(iii) A' ∪ B'
(iv) (A ∩ B)'

Is A' ∪ B' = (A ∩ B)' ?
Also, verify if A' ∪ B' = (A ∩ B)'.
Use the given Venn-diagram to find :
A ∩ B
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
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
In the given diagram, shade the region which represents the set given underneath the diagrams: (P ∩ Q)'

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}

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.
Some share brokers are chartered accountants.
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.
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}
