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Homework Statement:

This is Munkres Topology ch 1, exercise #7: Write the given set in terms of the sets ##A, B, C## and the symbols ##\cup , \cap , \text{ and } ##.
$$F=\left\{ x x\in A \wedge \left( x\in B\Rightarrow x\in C\right) \right\}$$
Relevant Equations:
 DeMorgan’s laws perhaps? Idk.
Obviously the parenthetical part of the definition of ##F## means ##B\subset C## but we are not allowed to use ##\subset##. I do not know how to express implication with only union, intersection, and set minus without the side relation ##B\cap C = B\Leftrightarrow B\subset C##. This is using the correct symbols but I think he wants a single relation. The “and” part is intersection of A with B but this doesn’t convey that B is a subset of C. This is going to be simple I bet.
I wish this text had at least odd numbered answers.
I wish this text had at least odd numbered answers.