Answer: a) {x | x ∈ N , 1 ≤x≤7} b ) {10 x | x ∈ Z , 0≤x≤4 }
Step-by-step explanation:
A set builder form is the the mathematical way to represent aset by using its particular property of characteristic.
For example : A = {2,4,5,6,......} is represented as
A= {2x | x ∈ N} , where N is a set of natural numbers.
a) {1, 2, 3, 4, 5, 6, 7}
Let D = {1, 2, 3, 4, 5, 6, 7}
Then, in set builder form , we have
D = {x | x ∈ N , 1 ≤x≤7}
b) ) {1, 10, 100, 1000, 10000}
Let B = {1, 10, 100, 1000, 10000}
[tex]={10^{0} , 10^1 , 10^2 , 10^3 , 10^4}[/tex]
We can see that each element in set B is a multiple of 10.
So in set builder form , we will have
B = {10 x | x ∈ Z , 0≤x≤4 } , where Z is the set of integers.
