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A is corrent. The Statute of Frauds requires only that the written contract be signed by the party to be charged, not by all parties to the contract.
B is incorrect. While the Statute of Frauds is applicable to the sale of goods only if the purchase price is $500 or more, it is always applicable to the sale of real estate, regardless of purchase price.
C is incorrect. It is not required that the contract be formalized in a single writing. Two or more documents can be combined to create a sufficient writing to satisfy the Statute of Frauds as long as one of the documents refers to the others.
D is incorrect. The Statute of Frauds does not require consideration to be fair and adequate.