Let A, B, C, D, E Z be defined as follows: A = {2n|n Z} - that

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Let A, B, C, D, E Š‚ Z be defined as follows:
A = {2n|n ˆˆ Z} - that is, A is the set of all (integer) multiples of 2;
B = {3n|n ˆˆ Z}; C = {4n|n ˆˆ Z};
D = {6n|n ˆˆ Z}; and E = {8n|n ˆˆ Z}.
(a) Which of the following statements are true and which are false?
(i) E Š‚ C Š‚ A
(ii) A Š‚ C Š‚ E
(iii) B Š‚ D
(iv) D Š‚ B
(v) D Š‚ A
(vi)
Let A, B, C, D, E Š‚ Z be defined

(b) Determine each of the following sets.
(i) C ˆ© E
(ii) B U D
(iii) A ˆ© B
(iv) B ˆ© D
(v)
(vi) A ˆ© E

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