Exercise 3.5.6: Roster notation for sets defined using set builder notation and the Cartesian product.
Express the following sets using the roster method. Express the elements as strings, not n-tuples.
QUESTION A and B already answered. Please provide solutions for C,D,E using same method, and show some explantion how you got answer.
(a)
{0x: x ∈ {0, 1}2}
answer: { 000, 001, 010, 011 }
(b)
{0, 1}0 ∪ {0, 1}1 ∪ {0, 1}2
answer : { λ, 0, 1, 00, 01, 10, 11 }
(c)
{0x: x ∈ B}, where B = {0, 1}0 ∪ {0, 1}1 ∪ {0, 1}2.
(d)
{xy: where x ∈ {0} ∪ {0}2 and y ∈ {1} ∪ {1}2}
(e)
{xy: x ∈ {aa, ab} and y ∈ {a} ∪ {a}2}
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