Section 4.1 Sets
241
Which of the following statements are true?
a. A # B
e. "3 [ B
b. 17 [ A
f. {0, 1, 2} # A
c. A # C
g. [ [ B
d. −40 [ C
h. {x 0 x [ ℤ and x
2
> 625} # C
13. Let
R = {1, 3, π, 4.1, 9, 10}
T = {1, 3, π}
S = {{1}, 3, 9, 10}
U = {{1, 3, π}, 1}
Which of the following statements are true? For those that are not, why not?
a. S # R
e. {1} # T
b. 1 [ R
f. {1} # S
c. 1 [ S
g. T ( R
d. 1 # U
14. Let
R = {1, 3, π, 4.1, 9, 10}
T = {1, 3, π}
S = {{1}, 3, 9, 10}
U = {{1, 3, π}, 1}
Which of the following statements are true? For those that are not, why not?
a. {1} [ S
e. T o R
b. [ # S
f. T # R
c. T # U
g. S # {1, 3, 9, 10}
d. T [ U
15. Let
A = {a, {a}, {{a}}}
B = {a}
C = {[, {a, {a}}}
Which of the following statements are true? For those that are not, where do they fail?
a. B # A
f. {a, {a}} [ A
b. B [ A
g. {a, {a}} # A
c. C # A
h. B # C
d. [ # C
i. {{a}} # A
e. [ [ C
16. Let
A = {[, {[, {[}}}
B = [
C = {[}
D = {[, {[}}
Which of the following statements are true? For those that are not, where do they fail?
a. C # A
f. C = B
b. C [ A
g. C # D
c. B [ A
h. C [ D
d. B # A
i. D # A
e. B [ C