Need done by 11pm

MGF 1106 Practice Exam 1

1. Determine whether each statement is true or false.

a. 8{2,4,6,8}

b. 7{2,4,6,…,20}

c. 13{x is a natural number such that x<12}

d. 12{x is a natural number such that 11x<15}

2. Write in each blank so that the resulting statement is true.

a. {1,2,3,6} ___ {1,2,3,4,5,6,7,8}

b. {2,3,7} ___ {2,3,7}

c. {0,1,3,5,7} ____ {7,0,5,1,3,8}

d. {9,1,7,3,4} ____ {1,3,4,7,9}

Let U={1,2,3,4,5,6,7,}, A={1,3,5,7,}, B={1,2,3}, C={2,3,4,5,6}. Use this to answer problems 3-6.

3. AB=

4. (AB)’=

5. A(BC)=

6. (C’A) (C’B’)=

7. Find the cardinal number for each set.

a. t={1,3,5,6,7}

b. c={2,3,6,8,9,11}

c. w={1,2,3,4,5,6,7,8,9}

d. v={4,8,12,14,17,18,21,23,25,30,12}

8. A survey of 100 American adults was taken to analyze their investments. Of those surveyed,

65 had invested in stocks, 55 in bonds, and 40 in both stocks and bonds.

a. Create a Venn diagram that illustrates the survey’s results.

Use the Venn diagram in part a to answer parts b-d.

b. How many invested in stocks only?

c. How many invested in stocks or bonds?

d. How many did not invest in either stocks or bonds?

9. A survey of 20000 students at a nonresidential college was taken to determine how they got to campus during the fall term. Of those surveyed, 11800 used cars, 10200 used public transportation, and 7000 used bikes. 4800 students used cars and public transportation, 3800 used cars and bikes, and 2600 used public transportation and bikes. 2200 students used all three modes of transportation.

a. Create a Venn diagram that illustrates the survey’s result.

Use the Venn diagram in part a to answer parts b-d.

b. How many used only public transportation?

c. How many used cars and public transportation, but not bikes?

d. How many used cars or public transportation, but not bikes?

e. How many used exactly two of these modes of transportation?

f. How many did not use any of three modes of transportation to get to campus?