Consider the following statements in respect of sets \(A\) and \(B\): I. If \(x \in A\) and \(A \in B\), then \(x \in B\). II. If \(A \subset B\) and \(x \notin B\), then \(x \notin A\). Which of the statements given above is/are correct?
II only
Statement I is false because set membership is not transitive — \(x \in A\) and \(A \in B\) do not together imply \(x \in B\). Statement II is the contrapositive of "\(A \subset B \Rightarrow (x \in A \Rightarrow x \in B)\)", which is always true, so II is correct.
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