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Suppose A = [2, 4, 6, 8, 10, 12] B = [1, 4, 9, 16] and C = [2, 10]. Find of the following is TRUEA’ = [1,2, 9, 10, 16]A U B = [4]C U A = [2, 10]A U C = [2, 4, 6, 8, 10, 12]

Question

Suppose A = [2, 4, 6, 8, 10, 12] B = [1, 4, 9, 16] and C = [2, 10]. Find of the following is TRUEA’ = [1,2, 9, 10, 16]A U B = [4]C U A = [2, 10]A U C = [2, 4, 6, 8, 10, 12]

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Solution

The given statements are mathematical expressions related to sets. Let's evaluate each one:

  1. A’ = [1,2, 9, 10, 16]: This statement is saying that the complement of set A (i.e., all elements not in A) is [1,2, 9, 10, 16]. This is FALSE because the complement of A would include all numbers not in A, and 2 and 10 are in A.

  2. A U B = [4]: This statement is saying that the union of sets A and B (i.e., all elements that are in A, in B, or in both) is [4]. This is FALSE because the union of A and B includes more than just 4.

  3. C U A = [2, 10]: This statement is saying that the union of sets C and A is [2, 10]. This is FALSE because the union of C and A includes all elements in both sets, not just 2 and 10.

  4. A U C = [2, 4, 6, 8, 10, 12]: This statement is saying that the union of sets A and C is [2, 4, 6, 8, 10, 12]. This is TRUE because the union of A and C includes all elements in both sets, which are indeed [2, 4, 6, 8, 10, 12].

This problem has been solved

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