Given a set S={x\x is an even multiple of 3}

Question

Given a set S={ x\x is an even multiple of 3}

 

a) Denote only (4) elements of S.

b)Is S finite or infinite?

c) Which of the following signs (ε and ε)  should you use for: -9-----S   ( the tittle sings to fill in are: " belongs to" or "doesnt belong to"

Answer 1

By definition of the set, the elements of S are numbers that are i) multiples of 3, and ii) even.

 

a) Can you name 4 numbers that fit both of these criteria? 6 is the first, easiest one.

b) Once you've found 4 numbers, could you keep finding more forever, or will they eventually stop?

c) Is -9 both a multiple of 3 and even? If so, use ∈, if not, use ∉.

 

Hope this helps, please comment if you need further hints.