Consider the three restrictions (i), (ii), and (iii) placed on the sets in Cantor’s Theorem. (a) Find a sequence of sets that satisfies (i) and (ii), but . (b) Find a sequence of sets that satisfies (i) and (iii), but . (c) Find a sequence of sets that satisfies (ii) and (iii), but .

check the explanation

Step-by-step explanation:

When it comes to the field of elementary set theory, Cantor's theorem is a basic result which affirms that, for whichever set, the set of the entire subsets will have a strictly bigger cardinality than itself. For the finite sets, Cantor's theorem can be affirmed to be true by plain enumerating the number that are in the subsets.

The full step by step explanation is in the attached image below

; )

step-by-step explanation: ; )

the figures below are made out of circles, semicircles, quarter … find the area and the perimeter of each figure and give your answers as a completely simplified exact value in terms of π (no approximations). remember that we'll also have to cut whatever areas we get in half, since we're only dealing im pretty sure that is the right answer

step-by-step explanation: