MATH 200: EXERCISE 1) The set of positive even numbers {2, 4, 6, 8,

MATH 200:

EXERCISE 1) The set of positive even numbers {2, 4, 6, 8,...} can be expressed in set-builder notation as follows

{2n|n Î N}

Use a similar set-builder notation to express

a) the set of all positive odd numbers {1, 3, 5, 7,...}.

b) the set of perfect squares {1, 4,9, 16, 25,...}.

EXERCISE 2. Consider the set P := {(1, 2), (2, 3), (8, 4), (4, 5), (5, 6)}. List out all the subsets of P that have four elements.

EXERCISE 3. Suppose A and B are two sets where all you know is that A Í B. Given this information, determine the intersection A Ç B. Explain your answer.

EXERCISE 4. Is it true that Æ = {Æ}? Justify your answer.

EXERCISE 5. Let A := {a, b, c} and B := {1,0}. Find A x B. Is this the same set as B x A? Justify your answer.