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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?
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Practice Questions
1 question
Q1
If C = {x | x is an even integer}, which of the following is a subset of C?
{2, 4, 6}
{1, 3, 5}
{0, 1, 2}
{-1, 0, 1}
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The set {2, 4, 6} contains only even integers, making it a subset of C.
Questions & Step-by-step Solutions
1 item
Q
Q: If C = {x | x is an even integer}, which of the following is a subset of C?
Solution:
The set {2, 4, 6} contains only even integers, making it a subset of C.
Steps: 5
Show Steps
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.
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