Real Numbers and Subsets

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How would you accurately describe the relationship between two sets in terms of subsets?

If every element of set A is also an element of set B, then A is a subset of B

What accurately describes the concept of a subset in relation to real numbers?

A set A is a subset of set B if every element of A is also an element of B

In the context of real numbers, what accurately defines a proper subset?

A proper subset contains some, but not all, elements of another set

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