Find infinite or finite of (1;2;3...........99;100.
Answers
Answered by
0
Answer:
a , c , e are finite ,
b , d are infinite sets
Step-by-step explanation:
****************************
Finite and infinite set :
A set is called a finite set
if it's cordinal number is a
definite whole number.
We can say that a set is infinite
if it is not finite .
************************************
Now ,
a ) The set of months of a year.
Number of months in a year = 12
Therefore ,
It is a finite set.
b ) { 1 , 2 , 3 , 4 ,... }
Number of elements is infinite.
Therefore ,
It is an infinite set .
c ) { 1,2,3,.....,100 }
Number of elements in the set
= 100
Therefore ,
It is a finite set .
d ) The set of positive integers
greater than 100
= { 101, 102, 103 ,.... }
Number of elements is not
finite .
Therefore ,
It is a infinite set.
e ) Set of prime numbers less
than 99.
= { 2,3,5,7,11,13,17,19,...97 }
Number of elements is
Countable ( finite )
Therefore ,
It is a finite set .
••••
a , c , e are finite ,
b , d are infinite sets
Step-by-step explanation:
****************************
Finite and infinite set :
A set is called a finite set
if it's cordinal number is a
definite whole number.
We can say that a set is infinite
if it is not finite .
************************************
Now ,
a ) The set of months of a year.
Number of months in a year = 12
Therefore ,
It is a finite set.
b ) { 1 , 2 , 3 , 4 ,... }
Number of elements is infinite.
Therefore ,
It is an infinite set .
c ) { 1,2,3,.....,100 }
Number of elements in the set
= 100
Therefore ,
It is a finite set .
d ) The set of positive integers
greater than 100
= { 101, 102, 103 ,.... }
Number of elements is not
finite .
Therefore ,
It is a infinite set.
e ) Set of prime numbers less
than 99.
= { 2,3,5,7,11,13,17,19,...97 }
Number of elements is
Countable ( finite )
Therefore ,
It is a finite set .
••••
Answered by
1
Step-by-step explanation:
if a set has a starting and end point both then it is finite but if it does not have a starting or end point then it is infinite set
if a set has a limited number of elements that it is fine and what its number of element is unlimited then it is alpha
so i think this is set of finite number that this have ending point
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