Question
Statements: P % Q, P $ R, Q # S, R @ T
Conclusions: a. R $ QÂ Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â b. S & TÂ Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â c. P % SSolution
given statements: P % Q, P $ R, Q # S, R @ T After converting: P ≤ Q, P ≥ R, Q = S , R < T After combining: T > R ≤ P ≤ Q = S Conclusion a → R $ Q → R ≥ Q , It cannot be true as T > R ≤ P ≤ Q = S. As Q ≥ R so, it is not true. Conclusion b → S & T → S > T There is no relation between S and T in the statement T > R ≤ P ≤ Q = S. So, it is not true. Conclusion c → P % S → P ≤ S It is true in the statement T > R ≤ P ≤ Q = S. So, it is true.
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