Question

Set of all even num in set notation

Answer 1

What defines an even number?

Answer 2

Div by 2

Answer 3

Yeah, so if you plug in any real number for x in the expression \(2x\), you'll get an even number.
So how can you write that in set notation?

Answer 4

S=2x

Answer 5

Don't forget that in set notation, you typically have this structure:
{ __ | __ }

Answer 6

{S|2x}

Answer 7

not quite

Answer 8

\(S=\{2x \mid x\in \mathbb{Z}\}\)

Answer 9

In words, you can read it as "The set of all 2x, such that x is an integer"