The Intersection & Union of Sets

1. The Intersection & Union of Sets Algebra I Mrs. Stoltzfus Lower Dauphin School District

2. Consider these Sets Actors Musicians Miley Cyrus Beyonce Gwyneth Paltrow Eminem Intersection Musicians ∪ Actors = {Lady Gaga, Coldplay, John Mayer, Miley Cyrus, Beyonce, Gwyneth Paltrow, Eminem, Bruce Willis, Julia Roberts, Matt Damon} Musicians Actors = { Miley Cyrus, Beyonce, Gwyneth Paltrow, Eminem}

3. Vocabulary/Notation

4. Vocabulary/Notation • Disjoint Sets have no element in common

5. Example A Q R 6 7 2 4 1 5 • The numbered shapes below are to be sorted into two sets, R and Q. • Set R contains shapes with a right-angle (90°). • Set Q contains shapes with four sides.

6. = {3, 7, 11} B = {0,1,3,4,5,7,8,9,11,13} = {11} Example B A C 3 7 0 11 4 = {0,2,3,4,7,11} Express {0, 4, 11} in terms of A, B, and C Terms of A, B, and C.

7. R = {the real numbers between -10 and -3} Example C ={all real numbers less than or equal to -2} B = {the real numbers less than or equal to -2} ={all real numbers between -10 and -3}

8. Homework: • Page 476-477, #1-26