Question

Question #4d4db

Answer 1

`{{a}}` is a partition of `A`.

Explanation:

Given a set `X`, we say that `Y` is a partition of `X` if

• Every element of `Y` is a nonempty subset of `X` and
• Every element of `X` is included in exactly one element of `Y`

If we let `Y = {{a}}` and test to see if `Y` is a partition of `A`, we can see that the first condition is satisfied, as the only element of `Y` is `{a} = A` which is a subset of `A`, and the second condition is satisfied because the only element of `A` is `a`, which is contained in the single element of `Y`.