Given: n(A) = 15   and   n(B) = 23  a.   What is the minimum possible number of elements in A ∩ B?    [A]b.   What is the minimum possible number of elements in A ∪ B?    [B]

Brad did a study of whether any of the African national flags contained the colors red or blue. Of the 53 flags he studied, 8 had neither red nor blue, 13 have both red and blue, and 38 had red.  HINT:  Draw a Venn Diagram to help solve the problem. a.  How many flags had contained the color blue? [a] b. How many flags contained the color red, but not blue?  [b]

If U = {x|x is all people}   and   A = {x|x is a man}  and   B = {x|x is a teacher} then which of the following is the best description of :     

A guidance counselor is planning schedules for 40 students. 16 students want to take Algebra (A) 18 want to take Biology (B) 11 want to take Chemistry (C) 5 want to take both Algebra and Chemistry and of these 5, 3 want to take Biology as well 5 want only Chemistry 8 want only Biology Remember: A = Algebra B = Biology C = Chemistry Fill in the number of students for each of the numbered areas (labeled in red)  Area 1 [1]                    Area 2 [2] Area 3 [3]                    Area 4 [4] Area 5 [5]                    Area 6 [6] Area 7 [7]                    Area 8 [8]

How many subsets does the following set have? T = {t, e, a, c, h, k, i, d, s}  Express answer as a Natural Number 

If U = {x|x is all IUS students}    and   A= {x|x is a male IUS student}    and      B = {x|x is an IUS student majoring in business} then which of the following is the best description of :     

Given:  B x A = Be sure to write your answers using proper notation – using ( ) and/or  { } correctly – as needed. a.  Set A = [a] b.  Set B = [b] c.  (B x A) = [c]

How many proper subsets does the following set have? T = {t, e, a, c, h, k, i, d, s}  Express answer as a Natural Number 

If U = {x|x is all IUS students}    and   A= {x|x is a male IUS student}    and      B = {x|x is an IUS student majoring in business} then which of the following is the best description of       

If U = {x|x is all people}   and   A = {x|x is a man}  and   B = {x|x is a teacher} then which of the following is the best description of :