Sets and Elements of Sets

¶ … Subsets of {8, 16, 27, 31}

{8, 16, 27, 31}

{8, 16, 27}

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

{mom, dad, son, daughter}

{mom, dad}

{mom, dad, son}

{dad, son}

{dad, son, daughter}

{son, daughter}

{mom, son}

{dad, daughter}

{mom}

{daughter}

The set of {mom, dad, son, daughter} has 12 subsets.

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?

362,880 combinations.

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 ? (B ? C)

A ? (B ? C) = {q, s, w, y}

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

A = {h, e, j, n}

B = {e, b, u, j}

A ? B = {h, e, b, u, j, n}

Sets (Part II)

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.

Set A = {computer, coffee, phone, Internet, cup, printer, pencils, pens, paper, snacks}

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

Set B = {computer, phone, Internet, printer, pencils, pens, paper}

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