Question

set builder notation {1/2,1,3/2,2,5/2,3,7/2,4,9/2,5,11/2}​

Answer 1

Answer:

Set = {x : n/2 , n ∈ natural numbers(N)}

Answer 2

The set builder form of

{1/2,1,3/2,2,5/2,3,7/2,4,9/2,5,11/2}​ is  { x/2 : x ∈ N $\geq$ 11 }

Given:

{1/2,1,3/2,2,5/2,3,7/2,4,9/2,5,11/2}​

To find:

Set builder form of given set

Solution:

Set builder form

• Set builder form of a set is a way of representing the data without mentioning the elements  
• It also defines a rule about the elements in a given set
• It contains one or more than one variables such as x, y, z.. etc.

The Symbols we use in Set builder form are

∈ is read as "belongs to"

∉ is read as "does not belong to"  

N - natural numbers or all positive integers.

W - whole numbers.

Z -  indicates integers     etc.

Given set  {1/2,1,3/2,2,5/2,3,7/2,4,9/2,5,11/2}​

In given set each element is divided by 2 and these are upto 11

The set builder form = { x/2 : x ∈ N $\leq$ 11 } where N = natural numbers  

Therefore,

The set builder form of

{1/2,1,3/2,2,5/2,3,7/2,4,9/2,5,11/2}​ is { x/2 : x ∈ N $\leq$ 11 }

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