Unit 1

Question 1

Sets

Answer 1

A well-defined collection of elements

Question 2

Well-defined collection

Answer 2

No question as to what the elements of the set are representing

Question 3

Finite

Answer 3

Has an ending

Question 4

Infinite

Answer 4

Doesn’t end

Question 5

Empty set

Answer 5

A set that contains no elements at all

Question 6

Interval notation

Answer 6

Used to describe relevant sets of real numbers on the number line

Question 7

Complete

Answer 7

A way to think of real numbers, they are complete bc they completely fill the number line

Question 8

Field

Question 9

Axioms

Answer 9

The field of real numbers adheres to 11 rules which are known as axioms, 5
for addition and 5 for multiplication, and one that connects the two

Question 10

Natural Numbers

Answer 10

{ 1,2,3, …}

Question 11

Integers

Answer 11

(Z) {-3,-2,-1,0,1,2,3…}

Question 12

Rational Numbers

Answer 12

(Q) numbers in the form a/b where a and b are elements of Z(integers) and b does not equal 0

Question 13

Irrational Numbers

Answer 13

(Qc) numbers that are not rational numbers

Question 14

Real Numbers

Answer 14

(R) Consist of all rational and irrational numbers. Commonly described as numbers that have points on the number line

Question 15

Complex Numbers

Answer 15

(C) in the form x + yi where x and y are elements of the real numbers and i = square root of -1