Write all elements of Set R if Rn=n / 2
where n= 1,2,3.....9
What is the cardinality of Set R?
R1 = 1/2 R2 = 1 .. R9 = 9/2
The cardinality (number of elements) of the set is 9.
To find all the elements of set R, we need to substitute the values of n from 1 to 9 into the given expression Rn = n / 2.
Let's calculate each element of set R:
For n = 1:
R1 = 1 / 2 = 0.5
For n = 2:
R2 = 2 / 2 = 1
For n = 3:
R3 = 3 / 2 = 1.5
For n = 4:
R4 = 4 / 2 = 2
For n = 5:
R5 = 5 / 2 = 2.5
For n = 6:
R6 = 6 / 2 = 3
For n = 7:
R7 = 7 / 2 = 3.5
For n = 8:
R8 = 8 / 2 = 4
For n = 9:
R9 = 9 / 2 = 4.5
Therefore, the elements of set R are: {0.5, 1, 1.5, 2, 2.5, 3, 3.5, 4, 4.5}.
To find the cardinality of a set, we count the number of elements in that set. In this case, the cardinality of set R is 9, since it has 9 elements.
So, the cardinality of set R is 9.