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Exercise 3.5.6: Roster notation for sets defined using set builder notation and the Cartesian product. Express...

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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