The Rainbow Connection Posted June 1, 2012 Report Share Posted June 1, 2012 Hello there! Can somebody please explain in simple terms the difference between subsets and proper subsets? I find it somewhat confusing.Also are integers subsets of rational numbers?Thanks! Reply Link to post Share on other sites More sharing options...
aldld Posted June 1, 2012 Report Share Posted June 1, 2012 Hello there! Can somebody please explain in simple terms the difference between subsets and proper subsets? I find it somewhat confusing.If you have two sets A and B, to say that A is a subset of B (A ⊆ B) means that for any x, if x ∈ A then x ∈ B. In particular, for any set A, we have A ⊆ A, that is, A is a subset of itself.A proper subset subset has a subtle difference. To say that A is a proper subset of B (A ⊂ B (some authors write A ⊊ B)), we mean that A ⊆ B and A ≠ B. In other words, there is at least one element of B that is not in A.Also are integers subsets of rational numbers?Yes, because if a is an integer than a is also rational. (Just think of it as a/1.) 1 Reply Link to post Share on other sites More sharing options...
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