Question

Determine whether the set is finite or infinite? (10,12,14,....18)

Answer 1

can any one tell me what finite and infinite means please

Answer 2

Finite means that there is an end to something and infinite means it'll never end

Answer 3

so you mean it would be infinite because it keeps on going and if it is written like 0-22 it would be finite right or am I wrong

Answer 4

Correct

Answer 5

thanks for helping me understand it

Answer 6

Infinite means the set has an infinite (\(\infty\)) number of elements. That means you can never be able to manually count all items in the set, because it essentially continues on forever with no end.

Finite is the opposite of infinite. It means "not infinite". So it is a number, whether it is very large or small, can still be manually counted because there is an end point eventually.

Typically, when writing sets, you would write "..." at the to denote that the set continues of forever (meaning that it has an infinite number of elements... because there is no way to list what the last elements of that list should be (because it continues ON FOREVER).

Here, they wrote (10, 12, 14, ..., 18). Yes, there is "..."but it's not at the end of the list (They didn't write (10, 12, 14, ...) with no ending number. This is because you now that the last element on the list is 18 So, the list consists of numbers between 10 and 18, which can be listed. Thus this set is finite.

Answer 7

^very detailed. You can tell he's an over achiever :P

Answer 8

yes
but I'm really appreicate the help from you both