If D = {2, 4, 6}, which of the following is not a subset of D?

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Question: If D = {2, 4, 6}, which of the following is not a subset of D?

Options:

Correct Answer: {1}

Solution:

A subset can only contain elements from the original set. {1} is not a subset of D.

If D = {2, 4, 6}, which of the following is not a subset of D?

If D = {2, 4, 6}, which of the following is not a subset of D?

Step 1: Understand what a subset is. A subset is a set that contains some or all elements from another set.
Step 2: Identify the original set D, which is {2, 4, 6}.
Step 3: Look at the options given to see which one is not a subset of D.
Step 4: Check if the elements in each option are also in set D.
Step 5: If an option contains an element that is not in D, then it is not a subset.
Step 6: For example, the set {1} contains the number 1, which is not in D, so {1} is not a subset of D.

Subset Definition – A subset is a set that contains only elements from another set.
Set Membership – Understanding which elements belong to a given set is crucial for identifying subsets.