Exercise 1.10 (3)
3. Represent the following statements by Venn diagrams.
i) Some non resident Indians are not rich.
Ans:
Let
U : The set of all human beings.
N : The set of all non resident Indians.
R : The set of all rich people.
The venn diagram represents truth of the given statement, i.e N-R=∅
ii) No circle is rectangle.
Ans:
Let
U : The set of all geometric figures.
C : The set of all Circles.
R : The set of all rectangles.
The venn diagram represents truth of the given statement, i.e C∩R=∅
iii) If n is a prime number and n ≠ 2, then it is odd.
Ans:
Let
U : The set of all real numbers.
P : The set of all Prime numbers n and n≠2.
O : The set of all odd numbers.
The venn diagram represents truth of the given statement, i.e P ⊂ O