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**[SOLVED] open sets in R^2**

**1. Homework Statement**

If A, B are open in R^2, and A is contained in the closure(B), then is it true that A is contained in B?

**2. Homework Equations**

**3. The Attempt at a Solution**

It seems intuitively true.

If a is in A, then there is a sequence b_n in B that converges to a by definition of closure. But I don't know what to do with that?