MATH 102 Review of 2.1‐2.3 Topics Covered: 2.1 Sets 2.2 Subsets 2.3 Venn Diagrams Mathematician: Quiz Date: 09.12.16 Wednesday September 14, 2016 OPEN NOTE QUIZ TAKEN ON THE COMPUTER 2.1 Set Review For question 1 – 7, state whether the following statements are true or false. If false, give a reason why. 1) The set of cities located in the state of Indiana is a well –defined set. 2) The set of the best movies is a well‐defined set. 3) {apple, orange, banana, pear} is equivalent to {tomato, corn, spinach, radish} 4) {a, b, c, 1, 2} is an example of a set in roster form. 5) A = {1, 3, 5, 7….} is a finite set. 6) If A = {a, e, i, o, u}, then n(A) = 5. 7) B = {1, 4, 7, 10, …, 31} is a finite set. 8) Express in roster form. Set A is the set of even natural numbers between 5 and 16. 9) Choose the correct set‐builder notation for the set K from the choices below. K = {1, 3, 5, 7, …} A) B) C) 10) 
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K = x x  N and is odd K = x x  N  K = x x is odd Determine whether the pairs of sets are equal, equivalent, both or neither. A = {apple, grape, strawberry} B = {2, 4, 6} 2.2 Subset Review For question 11 ‐ 14, state whether the following statements are true or false. If false, give a reason why. 11) maple  {oak, elm, maple, sycamore} 12) { } = {  } 13) {purple, yellow, green}  {green, yellow, purple} 14) {2, 5, 7}  {2, 5, 7, 10} 15) Determine whether A  B , B  A, A  B , B  A, A  B or if none of these applies. (Keep in mind that more than one symbol might apply.) A = the colors of the rainbow B = {red, blue} 16) Ms. Gajda stopped by Tasty Dog after school to grab a bite. The guy behind the counter offered the following toppings on her hot dog: ketchup, mustard, onions, relish, seasoning, and pickles. How many different variations of the hot dog can be made? 17) List all of the possible subsets of the given set. (Keep in mind that the empty set is always a subset). {a, b, c} 2.3 Venn Diagram Review For question 18 ‐21 , state whether the following statements are true or false. If false, give a reason why. 18) If U is the set of all teachers at OPRF and M is the set of math teachers, then M' is the set of science teachers. 19) If A = {1, 2, 5, 6, 8} and B = {2, 4, 7, 8, 9}, then A  B = {2, 8}. 20) The statement A U B means the elements in set A AND the elements in set B. The symbol U stands for the intersection. 21) If A = {5, 6} and B = {red, blue, green}, then AXB = { (5, red), (5, blue), (5, green), (6, red), (6, blue), (6, green)}. 22) Match the following vocabulary terms to the appropriate drawing below. Vocab: overlapping, disjoint, proper subset, same set A) C) B) A) B) C) Given the following information, determine the sets below. 23) A C 24) 25) A  B ' 26) Given the following Venn Diagram, determine the sets below. 27) A  B 29) A  B ' B C B C 28) A' 30) A  B '