Answer: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:
