Chapter 2 - Sets, Functions, Sequences, Sums, Matrices

Question 1

Two sets are equal …

Answer 1

if and only if they have the same elements

Question 2

set

Answer 2

unordered collection of objects, “contains” its elements

Question 3

elements or members

Answer 3

objects in a set

Question 4

roster method

Answer 4

S = {a, b, c, d ….}

Question 5

set builder notation

Answer 5

SetName = {variable | condition}

Question 6

Sets: N

Answer 6

Natural numbers: N = {0, 1, 2, 3, …}

Question 7

Sets: Z

Answer 7

Integers: Z = {…, -2, -1, 0, 1, 2, ….}

Question 8

Sets: Z+

Answer 8

Positive Integers: Z+ = {1, 2, 3, …}

Question 9

Sets: Q

Answer 9

Rational Numbers: Q = {p/q | p ∈ Z, q ∈ Z, q ≠ 0}

Question 10

Sets: R

Answer 10

Real Numbers

Question 11

Sets: R+

Answer 11

Positive Real Numbers

Question 12

Sets: C

Answer 12

Complex Numbers

Question 13

∈, ∉

Answer 13

is an element of, is not an element of

Question 14

A is a subset of B, A ⊆ B …

Answer 14

if and only if every element of A is also an element of B

A ⊆ B

Question 15

Empty or Null Set

Answer 15

A set that contains no elements

Ø or { }

Question 16

Singleton Set

Answer 16

A set with on element

{1}, {Ø}, {a}, etc.

Question 17

Cardinality

Answer 17

The number of distinct elements (n)

|S|

Question 18

Power Set

Answer 18

the set of all the subsets of the set

P(S)

Question 19

Ordered n-tuple

Answer 19

the ordered collection (a1, a2, … an)

ordered 2 tuples are called ordered pairs

Question 20

Cartesian product (A x B)

Answer 20

The set of all ordered pairs (a, b) where a ∈ A and b ∈ B

A x B = {(a, b) | a ∈ A ^ b ∈ B}

Question 21

A U B, Union

Answer 21

the set that contains those elements that are either in A or in B or in both

Question 22

A ∩ B, Intersection

Answer 22

the set that contains those elements in both A and B