Question

(i) Finite sets
(ii) Infinite sets
A={1,2,3,omposite numbers between 10 and 30.
D= Set of a4,5)
B={1,3,5,7,...}
C= Set of all multiples of 10 , E= {x/x e Z^x<0}
Define with examples:
(i) Disjoint sets (ii) Overlapping sets (iii) Complement of a se
Verify with examples: (i) An A' = Ø (ii) AU A'= U
.1 Recognize Some Important Sets:
e important sets of numbers along with their notations ar
as under:
Set of Natural Numbers N = {1,2,3,...}
Set of Whole Numbers W = {0,1,2,3,...}
Set of Integers
Z = {...-3,-2,-1,0,1,2,3,...}
Set of Rational Numbers Q = {x/x= b^p, qeZ,q=0}
Set of Even Numbers
E = { -6-4-2021​

Answer 1

Answer:

(i) A= { x:x is a multiple of 5, x∈N } ={5,10,15,20,...}

∴A is an infinite set.

(ii) B= { x:x is an  even prime numbers }. The only even prime number is 2. 

∴B={2} and hence B is a finite set.

(iii) Let X be the set of all positive integers greater than 50. Then X={51,52,53,...}

∴X is an infinite set.