Problem 15.1

Which of the following sets are equal?

a. {a, b, c, d}

b. {d, e, a, c}

c. {d, b, a, c}

d. {a, a, d, e, c, e}

Problem 15.2

Let A = {c, d, f, g}, B = {f, j}, and C = {d, g}.

Answer each of the following questions. Give reasons for your answers.

a. Is B A?

b. Is C A?

c. Is C C?

d. Is C a proper subset of A?

Problem 15.3a.

Is 3 {1, 2, 3}?

b. Is 1 {1}?

c. Is {2} {1, 2}?

d. Is {3} {1, {2}, {3}}?

e. Is 1 {1}?

f. Is {2} {1, {2}, {3}}?

g. Is {1} {1, 2}?

h. Is 1 {{1}, 2}?

i. Is {1} {1, {2}}?

j. Is {1} {1}?

Problem 15.4

Let A = {b, c, d, f, g} and B = {a, b, c}.

Find each of the following:

a. A B.

b. A B.

c. A B.

d. B A.