Math 35 Introduction_1_

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Math 35 Introduction_1_ Powered By Docstoc
					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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posted:4/16/2014
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