Question

Use set-builder notation to describe the following sets: (a) {1, 2, 3, 4, 5, 6, 7} (b) {1, 10, 100, 1000, 10000}

Answer 1

Set-builder notation is used to describe sets using mathematical notation. For the given sets {1, 2, 3, 4, 5, 6, 7} and {1, 10, 100, 1000, 10000}, we can describe them using set-builder notation.

Step-by-step explanation:

To describe the set {1, 2, 3, 4, 5, 6, 7} using set-builder notation, we can write it as:

x

Similarly, to describe the set {1, 10, 100, 1000, 10000}, we can write it as:

x

Answer 2

Answer: a) x b ) 10 x

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= 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 ∈ N , 1 ≤x≤7

b) ) {1, 10, 100, 1000, 10000}

Let B = {1, 10, 100, 1000, 10000}

`={10^(0) , 10^1 , 10^2 , 10^3 , 10^4}`

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 , where Z is the set of integers.