Section 4.1 Sets
245
49. Let
A = {2, 4, 5, 6, 8}
B = {1, 4, 5, 9}
C = {x 0 x [ ℤ and 2 ≤ x < 5}
be subsets of S = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}. Find
a. A c B
e. A − B
b. A d B
f. A′
c. A d C
g. A d A′
d. B c C
50. Let
A = {2, 4, 5, 6, 8}
B = {1, 4, 5, 9}
C = {x 0 x [ ℤ and 2 ≤ x < 5}
be subsets of S = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}. Find
a. (A d B)′
e. (C ′ c B)′
b. C − B
f. B × C
c. (C d B) c A′
g. (B − A) c C
d. (B − A)′ d (A − B)
51. Let
A = {a, {a}, {{a}}}
B = {[, {a}, {a, {a}}}
C = {a}
be subsets of S = {[, a, {a}, {{a}}, {a, {a}}}. Find
a. A d C
d. [ d B
f. A′ d B
b. B d C′
e. (B c C  ) d A
g. {[} d B
c. A c B
52. Let
A = {x 0 x is the name of a former president of the United States}
B = {Adams, Hamilton, Jefferson, Grant}
C = {x 0 x is the name of a state}
Find
a. A d B
b. A d C
c. B d C