r.2 and r.3

Question 1

∈

Answer 1

when a number is included in the set

Question 2

∉

Answer 2

when a number is not included in the set

Question 3

S

Answer 3

name of a set

Question 4

infinite set

Answer 4

unending list of distinct elements

Question 5

finite set

Answer 5

has a limited number of elements

Question 6

{x|x is a natural number between 2 and 7} - what kind of notation.

Answer 6

set builder notation

Question 7

{x - in set builder notation

Answer 7

set of all elements

Question 8

- in set builder notation

Answer 8

such that

Question 9

U - letter

Answer 9

universal set

Question 10

∅

Answer 10

empty/null set

Question 11

⊆ or subset

Answer 11

x has every element of y

Question 12

a complement

Answer 12

everything from the U that’s not in x

Question 13

∅ (set wise)

Answer 13

nothing in common

Question 14

natural numbers

Answer 14

{1, 2, 3, 4, …} or counting numbers

Question 15

whole numbers

Answer 15

{0, 1, 2, 3, 4, …}

Question 16

integers

Answer 16

{…, -3, -2, -1, 0, 1, 2, 3, …}

Question 17

correspondence forms

Answer 17

coordinate systems

Question 18

rational element

Answer 18

{p/a = p and a are integers and a ≠ 0}

Question 19

irrational numbers

Answer 19

{x|x is a real number but not rational}

Question 20

real numbers

Answer 20

{x|x corresponds to a point on the number line}

Question 21

inequalities

Answer 21

≤ or ≥

Question 22

a < b < c

Answer 22

b is between a and c

Question 23

absolute value

Answer 23

distance on a number line from a number to 0

Question 24

|a| ≥ 0

Answer 24

absolute value is always positive or 0

Question 25

|-a| = |a|

Answer 25

real number and its opposite are always equal

Question 26

|a| ⋅ |b|…

Answer 26

= |ab|

Question 27

|a|/|b|…

Answer 27

= |a/b|

Question 28

|a+b|…

Answer 28

≤ |a| + |b|

Question 29

-

Answer 29

opposite of

Question 30

a/0

Answer 30

undefined

Question 31

0/a

Answer 31

0

Question 32

0/0

Answer 32

indeterminate

Question 33

a^n = a ⋅ a ⋅ a ⋅ a… ⋅ a

Answer 33

n is any positive integer

Question 34

order of operation

Answer 34

1. fraction bar
2. parenthesis
3. power roots
4. multiplication / division
5. subtraction / addition

Question 35

a+b is a real number or ab is a real number

Answer 35

closure properties

Question 36

a+b=b+a or ab=ba

Answer 36

commutative property

Question 37

(a+b)+c = a(b+c) or (ab)c = a(bc)

Answer 37

associative property

Question 38

a+0=a or 0+a=a

Answer 38

identity properties

Question 39

a+(-a)=0 or (-a)+a=0

Answer 39

inverse properties

Question 40

a ⋅ 1/a = 1 or 1/a ⋅ a = 1

Answer 40

inverse properties

Question 41

a(b+c) = ab+ac or a(b-c) = ab-ac

Answer 41

distributive properties

Question 42

0 ⋅ a = a ⋅ 0 = 0

Answer 42

multiplication properties of 0

Question 43

d( P, Q )

Answer 43

distance between points and number line

Question 44

d( P, Q )

Answer 44

= |b-a| or |a-b|

Question 45

∩

Answer 45

intersections

Question 46

∪

Answer 46

union / combination of two sets