math 71a 4.2 – compound inequalities 1. 2 3 intersection
DESCRIPTION
3 intersectionTRANSCRIPT
1
Math 71A
4.2 – Compound Inequalities
2
The _______________ of sets and is set of elements ______________ to _____ ____ .
This is written and read_______________.
In set-builder notation, _________________________
3
The _______________ of sets and is set of elements ______________ to _____ ____ .
This is written and read_______________.
In set-builder notation, _________________________
intersection
4
The _______________ of sets and is set of elements ______________ to _____ ____ .
This is written and read_______________.
In set-builder notation, _________________________
intersectioncommon
5
The _______________ of sets and is set of elements ______________ to _____ ____ .
This is written and read_______________.
In set-builder notation, _________________________
intersectioncommon
both and
6
The _______________ of sets and is set of elements ______________ to _____ ____ .
This is written and read_______________.
In set-builder notation, _________________________
intersectioncommon
both and
“A intersect B”
7
The _______________ of sets and is set of elements ______________ to _____ ____ .
This is written and read_______________.
In set-builder notation, _________________________
intersectioncommon
both and
{𝒙|𝒙∈ 𝑨and 𝒙∈𝑩}
“A intersect B”
8
Ex 1.
Intersection
9
Ex 1.
Intersection
{𝟔 ,𝟖 }
10
Ex 1.
Intersection
{𝟔 ,𝟖 }
{}
11
Ex 1.
Intersection
{𝟔 ,𝟖 }
{} (or )
12
The ___________ of sets and is set of _________ elements in ____ .
This is written and read “ union ”.
In set-builder notation, ____________________________
13
The ___________ of sets and is set of _________ elements in ____ .
This is written and read “ union ”.
In set-builder notation, ____________________________
union
14
The ___________ of sets and is set of _________ elements in ____ .
This is written and read “ union ”.
In set-builder notation, ____________________________
unionall
15
The ___________ of sets and is set of _________ elements in ____ .
This is written and read “ union ”.
In set-builder notation, ____________________________
unionall or
16
The ___________ of sets and is set of _________ elements in ____ .
This is written and read “ union ”.
In set-builder notation, ____________________________
unionall or
{𝒙|𝒙∈ 𝑨or 𝒙∈𝑩}
17
Ex 2.
Union
18
Ex 2.
Union
{𝟓 ,𝟔 ,𝟕 ,𝟖 ,𝟗 ,𝟏𝟎 }
19
Ex 2.
Union
{𝟓 ,𝟔 ,𝟕 ,𝟖 ,𝟗 ,𝟏𝟎 }
{𝒎,𝒂 ,𝒕 ,𝒉}
20
In summary…
…to intersect two sets, take _____________ elements.
…to union two sets, take _______ elements.
21
In summary…
…to intersect two sets, take _____________ elements.
…to union two sets, take _______ elements.
common
22
In summary…
…to intersect two sets, take _____________ elements.
…to union two sets, take _______ elements.
common
all
23
Inequalities joined by _______ or _____ are together called a ______________________.
ex: and
ex: or
24
Inequalities joined by _______ or _____ are together called a ______________________.
ex: and
ex: or
“and”
25
Inequalities joined by _______ or _____ are together called a ______________________.
ex: and
ex: or
“and” “or”
26
Inequalities joined by _______ or _____ are together called a ______________________.
ex: and
ex: or
compound inequality“and” “or”
27
Inequalities joined by _______ or _____ are together called a ______________________.
ex: and
ex: or
compound inequality“and” “or”
28
Let’s look at the following compound inequality: and
The solution set for the compound inequality is the set of all that satisfy _________________.
In other words, it’s the intersection of the solution sets and .
“And”
29
Let’s look at the following compound inequality: and
The solution set for the compound inequality is the set of all that satisfy _________________.
In other words, it’s the intersection of the solution sets and .
“And”
30
Let’s look at the following compound inequality: and
The solution set for the compound inequality is the set of all that satisfy _________________.
In other words, it’s the intersection of the solution sets and .
“And”
both inequalities
31
Let’s look at the following compound inequality: and
The solution set for the compound inequality is the set of all that satisfy _________________.
In other words, it’s the intersection of the solution sets and .
“And”
both inequalities
32
To find the solution set of and , graphing helps:
“And”
33
To find the solution set of and , graphing helps:
“And”
34
To find the solution set of and , graphing helps:
“And”
35
To find the solution set of and , graphing helps:
“And”
36
To find the solution set of and , graphing helps:
“And”
37
To find the solution set of and , graphing helps:
“And”
38
Ex 3.Solve: and
“And”
39
Ex 3.Solve: and
“And”
40
Ex 3.Solve: and
“And”
41
Ex 3.Solve: and
“And”
42
Ex 3.Solve: and
“And”
43
Ex 3.Solve: and
“And”
44
Ex 3.Solve: and
“And”
45
Ex 4.Solve: and
“And”
46
Ex 4.Solve: and
“And”
47
Ex 4.Solve: and
“And”
48
Ex 4.Solve: and
“And”
49
Ex 4.Solve: and
“And”
50
Note: “” is a short way of writing “ and ”
Ex 5.Solve:
“And”
51
Note: “” is a short way of writing “ and ”
Ex 5.Solve:
“And”
52
Let’s look at the following compound inequality: or The solution set for the compound inequality is the set of all that satisfy _________________.
In other words, it’s the union of the solution sets and , written
“Or”
53
Let’s look at the following compound inequality: or The solution set for the compound inequality is the set of all that satisfy _________________.
In other words, it’s the union of the solution sets and , written
“Or”
54
Let’s look at the following compound inequality: or The solution set for the compound inequality is the set of all that satisfy _________________.
In other words, it’s the union of the solution sets and , written
“Or”
either inequality
55
Let’s look at the following compound inequality: or The solution set for the compound inequality is the set of all that satisfy _________________.
In other words, it’s the union of the solution sets and , written
“Or”
either inequality
56
Ex 6.Solve: or
“Or”
57
Ex 6.Solve: or
“Or”
58
Ex 6.Solve: or
“Or”
59
Ex 6.Solve: or
“Or”
60
Ex 6.Solve: or
“Or”
61
Ex 6.Solve: or
“Or”
62
Ex 7.Solve: or
“Or”
63
Ex 7.Solve: or
“Or”
64
Ex 7.Solve: or
“Or”
65
Ex 7.Solve: or
“Or”
66
Ex 7.Solve: or
“Or”
67
Ex 7.Solve: or
“Or”