# Compare improper and proper subsets.

Sets (Part I)

1. List all the subsets of { 8, 16, 27, 31, 60}

2. Determine the number of subsets of {mom, dad, son, daughter}

3. At MegaSalad, a salad can be ordered with some, all, or none of the following set of ingredients on top of the salad greens: {ham, turkey, chicken, tomato, feta cheese, cheddar cheese, cucumbers, onions, red peppers, hot peppers }. How many different variations are there for ordering a salad?

4. Let U = {q, r, s, t, u, v, w, x, y, z}

A = {q, s, u, w, y}

B = {q, s, y, z}

C = {v, w, x, y, z}

Determine A â?© (B â?ª C)

5. Use the Venn diagram to list the set of elements in roster form. Find A â?ª B.

Assignment Expectations:

Clearly define sets and set operations.

Select appropriate set elements and distinquish between sets, subsets, and proper subsets.

Sets (Part II)

Also, for the first SLP I want you to put into practice what you have learned about sets and functions. I want you to create three sets, set A, set B, and set C by going through the items you use at work (or in your field).

Set A will be a list of all of these items.

Create Set B, from the items in Set A that you think are essential.

Create Set C, by taking the complement of Set B in Set A, i.e. all of the non-essential items.

Are sets B and C proper subsets of set A? Explain.

Submit a one to two page paper with this information along with Part I of SLP by the end of this module.

Assignment Expectations:

Identify a set and elements of the set that would make up subsets. from the original set.

Distinguish between improper and proper subsets.

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#### Solution Preview

number 1

{}

{8}

{16}

{27}

{31}

{60}

{8,16}

{8,27}

{8,31}

{8,60}

{16,27}

{16,31}

{16,60}

{27,31}

{27,60}

{31,60}

{ 27, 31, 60}

{ 16, 31, 60}

{ 16, 27, 60}

{ 16, 27, 31}

{ 8, 31, 60}

{ 8, ...