Exam 2: Sets

The table shows the students from Genius High School with the four highest GPAs from 2005 to 2007. Write the region(s)of the Venn diagram that would include Harry. (Note set represents 2005 top-ranked students, set represents 2006 top-ranked students, and set represents 2007 Top-ranked students.)

Let U = {4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14} X = {4, 6, 8, 10, 12, 14} Y = {4, 5, 6, 7, 8, 9} Z = {5, 7, 8, 9, 12, 13, 14}.

If = {Bob, Ann, Mae, Eve, Dan, Pat, Tal, Liz}, = {Ann, Eve, Dan, Pat}, and B = {Bob, Ann, Mae, Eve} find

Let U = {5, 10, 15, 20, 25, 30, 35, 40} = {5, 10, 15, 20} = {25, 30, 35, 40} = {10, 20, 30, 40}. Find .

Write the set using set-builder notation: {1, 3, 5, . . . , 27}

Which set is finite?

Let U = {5, 10, 15, 20, 25, 30, 35, 40} A = {5, 10, 15, 20} B = {25, 30, 35, 40} C = {10, 20, 30, 40}. Find C'.

List the elements in the set: {7, 10, 13, . . . , 31}.

Find the number of proper subsets the set has. {m, n, p}

Let = {n, p, q, r, s, t, u, v} = {n, p, q, r} = {n, q, s, u}. Find B .

In a survey of 29 instructors, it was found that 22 liked whiteboards, 11 liked blackboards, and 7 Liked both. How many instructors did not like whiteboards?

Show that the set is an infinite set. {0, 4, 8, 12, 16, . . .}

A = {people who drive a compact car} and {people who drive a diesel vehicle}. Draw a Venn Diagram of and write a sentence describing what the set represents.

Which statement is true?

Write the set using the descriptive method: {9, 18, 27, 36, 45}

State whether the following set is empty.

Let U = {5, 10, 15, 20, 25, 30, 35, 40} A = {5, 10, 15, 20} B = {25, 30, 35, 40} C = {10, 20, 30, 40}.

Draw a Venn diagram and shade the sections representing .

Find all subsets of the set. {2, 4, 9}.

Show that the set is an infinite set.