MAT 142 Problem set

Unit: Sets

Topic: Set Operations

Directions: Solve the following problems. Please show your work and explain your reasoning.

1.

U= names of the states in the United States.

A= States that begin with a = {AK, AL, AZ. AR}

B= States that border Mexico = {AZ, CA, NM, TX}

C = States on the Pacific coast = {AL, CA, OR, WA}

a. Find A ? B

b. Find A ? C

c. Find B C

d. Find (A ? B ? C)

e. Find (B ? C) ? A

f. Find (A ? B) ? C

1. Let A be the set of all people who like math and B be the set of people who are good at

math.

a. Make a Venn diagram of the situation, shading the area representing people who

are good at math but dont like it.

b. Make a Venn diagram of the situation, shading the area representing people who

are not good at math and dont like it.