Let A and B be sets. Define precisely (but concisely) what it means for A to be a subset of B.

What will be an ideal response?


Sample correct answers:
A is a subset of a set B if, and only if, every element in A is in B.
A is a subset of a set B if, and only if, ?x, if x ? A, then x ? B.
A is a subset of a set B if, and only if, ?x ? A, x ? B. is a subset of a set B if, and only if, A only contains elements that are also contained in B.

Mathematics

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Mathematics