In a coded inequality, 'A $ B' means A B, 'A % B' means A = B, 'A # B' means A

Question

In a coded inequality, 'A $ B' means A > B, 'A % B' means A < B, 'A @ B' means A >= B, 'A # B' means A <= B, and 'A & B' means A = B. Given that P $ Q, Q @ R and R & S are true, which of the following is definitely TRUE?

Accepted Answer

P $ S. Decoding: P > Q, Q >= R, R = S, giving P > Q >= R = S. Hence P > S, i.e., 'P $ S' is true. The others contradict this chain.

In a coded inequality, 'A $ B' means A > B, 'A % B' means A < B, 'A @ B' means A >= B, 'A # B' means A <= B, and 'A & B' means A = B. Given that P $ Q, Q @ R and R & S are true, which of the following is definitely TRUE?

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