Question

Question #3b841

Answer 1

I am assuming this is a set theory problem.
Your notation in this is a bit unorthodox. I will solve it as I think it should be.

Explanation:

1.) A = letters of the word 'repetition'.

Remember that a set is only defined if it contains unique elements. This means that set A will be `{r, e, p, t, i, o, n }` This is the unique letter with no repeats. So we have:

`A = {r, e, p, t, i, o, n }`

I think B should be written like this:

`B= {x in W : x^2 < 17}`

Since `B` is all the values of `x^2<17` of which there is an infinite number, `B` is called an infinite set.

These sets have no relationship between them(one is letters and one is numbers), and are known as disjoint sets.

So:

`A!=B`

2.) We still have to adopt the same rules as above so:

Set `A = {A, M, R, I, T }`

Set `B= {N, A, M, R, I, T }`

`A sub B`

This is called a proper subset.

What this means is `A` is contained in `B`, but `A !=B`

This is because `B` cannot be contained in `A` .

I hope this helps you, and I haven't confused you too much.