the subsets in this case are:
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:
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