SETS and Integers

1.       What is a set?

• a) A collection of numbers

• b) A collection of elements with no specific order

• c) A collection of ordered pairs

• d) A collection of functions

2. 2. Which notation represents the empty set?

• a) {}

• b) {0}

• c) {1}

• d) {∅}

If A = {1, 2, 3} and B = {3, 4, 5}, what is the intersection of A and B?

• a) {1, 2, 3, 4, 5}

• b) {3}

• c) {1, 2, 4, 5}

• d) {}

What is the cardinality of the set {apple, banana, cherry}?

• a. 0

• b. 1

• c. 2

• d. 3

What is the union of sets A = {1, 2, 3} and B = {3, 4, 5}?

• a) {1, 2, 3, 4, 5}

• b) {1, 2}

• c) {3}

• d) {4, 5}

Which set operation combines elements from two sets, excluding duplicates?

• a. Union

• b. Intersection

• Power Set

• Product

If set A has 5 elements and set B has 7 elements, what is the maximum number of elements in the union of A and B?

• a. 5

• b. 7

• c. 12

• d. 35

How many subsets does a set with n elements have, including the empty set and itself?

• a. n

• b. 2^n

• c. n^2

• d. 2

What is the cardinality of the empty set?

• 0

• 1

• 2

• 3

The set {2, 4, 6, 8} is an example of a ____________ set.

• Finite

• Infinite

• Universal

• Equal