# Math 35 Introduction_1_ by pptfiles

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```									Section 4.2
Intersections, Unions & Compound Inequalities
o Using Set Diagrams and Notation
o Intersections of Sets
n Conjunctions of Sentences and
o Unions of Sets
n Disjunctions of Sentences   or
o More Interval Notation
o Specifying Domains
4.2                     1
Sets and Compound Inequalities
Compound Inequalities: Two inequalities joined by and or or

Intersection                     Union
Members in Common              All Members in Both
“and”               4.2
“or”            2
Intersection:
Members in Common

(

)

(   )

4.2       3
Notation:
Abbreviated Compound Inequalities

4.2                4
Solve & Graph

[          )
4.2       5
(both must be true)
Solve & Graph a Conjunction and

[
(
(

4.2                6
No Solutions:
Disjoint Sets  The Empty Set

4.2            7
(both must be true)
Solve & Graph a Disjoint Conjunction

(
)

4.2                8
Union:
All Members in Both Sets

)

(

)          (
4.2        9
(either can be true)
Solve & Graph a Union or

)
[

4.2
)      [   10
Try another … (either can be true)
Solve & Graph a Union or

(
)
)   4.2
(         11
The Biggest Possible Solution

)

[

4.2           12
Expressing Domains
With Interval Notation

)(

[
4.2       13
Where do we go from here? …
o Section 4.3 Absolute Value Equations &
Inequalities

4.2                  14

```
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