If C = {x | x is an even integer}, which of the following is a subset of C?

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Question: If C = {x | x is an even integer}, which of the following is a subset of C?

Options:

Correct Answer: {2, 4, 6}

Solution:

The set {2, 4, 6} contains only even integers, making it a subset of C.

If C = {x | x is an even integer}, which of the following is a subset of C?

If C = {x | x is an even integer}, which of the following is a subset of C?

Step 1: Understand what the set C represents. C is the set of all even integers, which includes numbers like -4, -2, 0, 2, 4, 6, and so on.
Step 2: Identify the set we are checking to see if it is a subset of C. In this case, the set is {2, 4, 6}.
Step 3: Check each element in the set {2, 4, 6} to see if they are even integers.
Step 4: Confirm that 2 is an even integer, 4 is an even integer, and 6 is an even integer.
Step 5: Since all elements in {2, 4, 6} are even integers, we conclude that {2, 4, 6} is a subset of C.

Set Theory – Understanding subsets and the properties of sets, particularly with respect to even integers.
Even Integers – Recognizing and identifying even integers as part of a defined set.