Question

Identify all the possible proper subset relationships that

occur among the following sets.

Answer 1

the subsets in this case are:

• C ⊆ B
• C ⊆ A
• B ⊆ A

How to identify the subsets?

Remember that for two sets A and B, we say that A is a subset of B if and only if all the elements of A also are elements of B.

In this case, we have 3 sets:

• A = {3n| n ∈ N}
• B = {6n| n ∈ N}
• C = {12n| n ∈ N}

We can rewrite these ones as:

• A = {3n| n ∈ N} = {3, 6, 9, 12, 15, 18, ...}
• B = {6n| n ∈ N} = {6, 12, 18, ...}
• C = {12n| n ∈ N} = {12, 24, 36, ...}

Here we can see that all the elements in C also belong in B and also belong in A, and all the elements in B also belong to A, then the subsets are:

C ⊆ B

C ⊆ A

B ⊆ A

If you want to learn more about subsets:

https://brainly.com/question/2000547

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