Write the set in builder form. A{2,4,6,8}​

A=2,4,6,8

One way of writing this in set builder notation could be:

A={x|2≤x≤8|x2∈N}

Which can be interpreted as:

The set A is the set of any  x  such that  2≤x≤8  such that half of  x  is a natural number ( N ).

There are many ways of writing sets in set builder notation. Which is why it can be a little confusing to learn (the syntax) at first. Once you understand what all these new mathematical symbols mean (i.e.  ∈ , | , N ), it becomes much easier to “read as a sentence”.

Here are a few more ways of writing the set  A=2,4,6,8  in set builder notation:

A={x|2≤x≤8|x∈2⋅N}

A={x|(x−2)(x−4)(x−6)(x−8)=0}

A={x|x=2p|p∈{1,2,3,4}}

A={x∈N|mod(x,2)=0|x≤8}

Step-by-step explanation:

A=2,4,6,8

Step-by-step explanation:

the graph on the bottom right