Let U={1, 2, 3, 4, 5, 6, 7, 8}, A={2, 4, 6}, B={1, 2, 5, 8}, and C={1, 3, 7}. Find each of the following.

$$\left( A ^ { \prime } \cap B \right) ^ { \prime }$$

Let U={1, 2, 3, 4, 5, 6, 7, 8}, A={2, 4, 6}, B={1, 2, 5, 8}, and C={1, 3, 7}. Find each of the following.

$$( A \cup B ) \cap \left( B \cap C ^ { \prime } \right)$$

Let A={1, 3, 5, 7, 9}, B={3, 6, 9}, and C={2, 4, 6, 8}. Find each of the following: a.

$$A \cup B$$

, b.

$$A \cap B$$

, c.

$$A \cup C$$

, d.

$$A \cap C$$

, e. A-B, f. B-A, g.

$$B \cup C$$

, h.

$$B \cap C$$

Let U={1, 2, 3, 4, ..., 20}, A={1, 2, 3, 4, 5}, B={6, 7, 8, 9}, C={1, 3, 5, 7, ..., 19}, and D={2, 4, 6, 8, ..., 20}. Use the roster method to write each of the following sets. D'

Let A={1, 2, 3, 4}, B={3, 4, 5, 6}, and C={5, 6, 7, 8}. Find each of the following sets: a.

$$A \triangle B$$

, b.

$$B \Delta C$$

, c.

$$A \triangle C$$

, d.

$$( A \Delta B ) \Delta C$$

Let

$$U = \{ 1,2,3,4,5,6,7,8 \}$$

,

$$A = \{ 2,4,6 \} , B = \{ 1,2,5,8 \}$$

, and C={1, 3, 7}. Find each of the following.

$$\left( A ^ { \prime } \cup B \right) \cap \varnothing$$

let U={1, 2, 3, 4, 5, 6, 7, 8},

$$A = \{ 2,4,6 \} , B = \{ 1,2,5,8 \}$$

, and C={1, 3, 7}. Find each of the following.

$$( A \cap ( B \cup C ) ) ^ { \prime }$$

Let A = {0, 2, 4, 6, 8, 10}, B = {0, 1, 2, 3, 4, 5, 6}, and C = {4, 5, 6, 7, 8, 9, 10}. Find a) A ∩ B ∩ C. b) A ∪ B ∪ C. c) (A ∪ B) ∩ C. d) (A ∩ B) ∪ C.

Let the universal set be {A, B, C, D, F} and let G{(A, 1), (B, 0.7), (C, 0.4), (D, 0.1), (F, 0)} be a fuzzy set defined by Greg to describe what he feels is a good grade. Determine G'.

Let S = {1, 2, 3, 4, 5, 6, 7}, E = {1, 3, 5, 7}, F = {7, 4, 6}, G = {1, 4}. Find (a) $EF;$ (b) $E \cup F G;$ (c) $EG^c ;$ (d) $E F^{c} \cup G;$ (e) $E^{c}(F \cup G);$ (f) $E G \cup F G.$

Let A = {1, 2, 3, 4, 5, 7, 8, 10, 11, 14, 17, 18}. a) How many subsets of A contain six elements? b) How many six-element subsets of A contain four even integers and two odd integers? c) How many subsets of A contain only odd integers?

Make an order-of-magnitude estimate of the quantity. -The inertia of a suitcase filled with physics textbooks.

How many numbers must be selected from the set {1, 3, 5, 7, 9, 11, 13, 15}to guarantee that at least one pair of these numbers add up to 16?

Use A={1,3,5,7,9}, B={1,5,6,7}, and C={1,2,4,6,8,9} to find the set.

$$(A \cup C) \cap(B \cup C)$$