Choose the incorrect option?

1
Let A be the subset of R then\((\bar{A^c})^c = A^0\) where Ac is the complement of the set A and A0 is the int(A)
2
Let G is open in X then \(\overline{(G \cap \bar{A}) } = \overline{(G \cap A)} \) for all A ⊂ X
3
Let G is closed in X then \(\overline{(G \cap \bar{A}) } = \overline{(G \cap A)} \) for all A ⊂ X
4
If  \(\overline{(G \cap \bar{A}) } = \overline{(G \cap A)} \) for all A ⊂ X then G is open in X

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