Expert: Lynn Houston - 2/7/2011

Question
2. Set X = {5, 7, 11, 16, 21, 702},  Set Y = {2, 5, 8, 11, 19, 702}

a. What is the union of Sets X and Y?

b. What is the intersection of Sets X and Y

c. Create your own set Z that is a subset of Set X.



3. Let Set 1 be the entire alphabet. Let Set 2 = {g, h, i, j, k, l}

a. What is the complement of Set 2 in Set 1?

b. Set 3 = {h, i, j, k}.  Is Set 3 a proper subset of Set 2?  Explain your reasoning.

Answer
2. Set X = {5, 7, 11, 16, 21, 702},  Set Y = {2, 5, 8, 11, 19, 702}

a. What is the union of Sets X and Y?

{2, 5, 7, 8, 11, 16, 19, 21, 702}

b. What is the intersection of Sets X and Y

{5, 11, 702}

c. Create your own set Z that is a subset of Set X.

{5, 16}


3. Let Set 1 be the entire alphabet. Let Set 2 = {g, h, i, j, k, l}

a. What is the complement of Set 2 in Set 1?

{a, b, c, d, e, f, m, n, o, p, q, r, s, t, u, v, w, x, y, z}

b. Set 3 = {h, i, j, k}.  Is Set 3 a proper subset of Set 2?  Explain your reasoning.

Yes, because set 3 is a subset of set 2, but 3 is not equal to 2B (i.e. there exists at least one element of 3 not contained in 3), therefore it is a proper subset.