Section 4.2 Intersections, Unions & Compound Inequalities - PowerPoint PPT Presentation

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Section 4.2 Intersections, Unions & Compound Inequalities

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Section 4.2 Intersections, Unions & Compound Inequalities

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  1. Section 4.2Intersections, Unions & Compound Inequalities • Using Set Diagrams and Notation • Intersections of Sets • Conjunctions of Sentences and • Unions of Sets • Disjunctions of Sentences or • More Interval Notation • Specifying Domains 4.2

  2. Sets and Compound Inequalities Compound Inequalities: Two inequalities joined by and or orIntersectionUnion Members in Common All Members in Both “and” “or” 4.2

  3. Intersection: Members in Common ( ) ( ) 4.2

  4. Notation:Abbreviated Compound Inequalities 4.2

  5. Solve & Graph [ ) 4.2

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

  7. No Solutions:Disjoint Sets  The Empty Set 4.2

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

  9. Union: All Members in Both Sets ) ( ( ) 4.2

  10. (either can be true)Solve & Graph a Union or ) [ [ ) 4.2

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

  12. The Biggest Possible Solution ) [ 4.2

  13. Expressing DomainsWith Interval Notation ( ) [ 4.2

  14. Where do we go from here? … • Section 4.3 Absolute Value Equations & Inequalities 4.2