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In the given set A = {0, 2, 4, 5}, which subsets are C = {0, 2, 4} and D = {1, 5}?

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Final answer:

In set A = {0, 2, 4, 5}, subset C = {0, 2, 4} is a valid subset because its elements are contained in A, but D = {1, 5} is not a valid subset as it contains an element (1) not present in A.

Step-by-step explanation:

In the set A = {0, 2, 4, 5}, the subset C = {0, 2, 4} is indeed a valid subset because all elements of C are also elements of A. However, the subset D = {1, 5} is not a valid subset of A because while it includes 5 which is in A, it also contains 1 which is not an element of set A.

The term 'subset' means that all the elements of the subset should be contained within the larger set. Therefore, C is a subset of A, but D is not.

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