Question

Write the set B=t { 2,4,6,8,_ } in set builder form

Answer 1

Answer:

$A=\left\{2x:\:\:\forall \:x\in \mathbb{N}\right\}$

Step-by-step explanation:

There are many ways of writing the same set in set builder form

you need to create a valid mathematical statement which satisfy the condition and output with given input are the required elements of the sets

here Set A contain all even numbers equal and above 2

so

$A=\left\{2x:\:\:\forall \:x\in \mathbb{N}\right\}$

but if you wanted to restrict up to 4 elements

you can write it as

$A=\left\{2x:\:\:\forall \:1\le x\le 4,x\in \mathbb{N}\right\}$

Answer 2

Answer:

B={x / x is an even positive integer }

Step-by-step explanation:

Set builder form:

In Set builder form, the common property possessed by each element is written in side the curly brackets instead of listing all the elements.

Here, each element of B is an even positive integer.

Hence B can be writen as

B={x / x is an even positive integer }