Practice: Set Notation and Set Operations Answer Key (Classwork)

1a. Rule: {all real numbers between -1 and 3 inclusively}
     Set-Builder: {x: -1 < x < 3}
     Interval: [-1, 3]

1b. Rule: { all real numbers greater than 2}
      Set-Builder: { x: x > 2}
      Interval: (2, infinity)

1c. Rule {all real numbers between -2 and 0 exclusively}
     Set-Builder: {x : -2 < x < 0}
     Interval: (-2, 0)

1d.  Rule {all real numbers less than or equal to 1}
       Set-Builder: {x : x < 1}
       Interval: ( negative infinity, 1]

3b.  A' = {-1, 1, 3, 5}
       B' = {-1, 0, 1, 3, 4, 5}
    A U B = {-2, 0, 2, 4}
    A n B = {-2, 2}

3c.  B is a sub set of A since all the elements in set B are in set A.

4b. S' is all Iroquois Middle School Students who are not in Student Council
      S n E is all of the 8th graders that are in Student Council

5a. A'             5b.  (A U B)'             5c. (A n B)'           5d.   A n B n C        
5e. A n B      5f.  (A n C) U (B n C)

6a. R          6b.   { } --> null set or empty set        6c. I      6d.  N

Hope this helps!!