6) Consider the following subsets of ℤ .
A = {3n : n ∈ ℤ, n ≥ 4}
B = {2n : n ∈ ℤ}
C = {n : n ∈ ℤ, n² ≤ 100}
Using set operations express each of the following sets in terms of A,B and C
a. The set of all odd integers
b. {-10,-8,-6,-4,-2,0,2,4,6,8,10}
c. {6n : n ∈ ℤ, n ≥ 2}
d. {-9,-7,-5,-3,-1,1,3,5,7,9}
7) Let A = {0,2,3}, B = {2,3}, C = {1,4}, Ω = {0,1,2,3,4}. List the elements for the following sets and state their cardinality
a. A × B
b. B × A
c. B²
d. Ω × ∅
e. P(B)
f. P(C)
8) Let Ω = {1,2,3,4,5,6}, A = {1,2,3}, B = {1,3,5}, C = {2,3}. Draw a Venn diagram to describe these sets.