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In a code, 'X → Y' means X < Y, 'X ← Y' means X > Y, 'X ↔ Y' means X = Y, 'X ⇒ Y' means X ≤ Y, and 'X ⇐ Y' means X ≥ Y. For the statement 'P ← Q ⇐ R → S', which conclusion is definitely true?

Competition practiceInequalities
  • AP > R
  • BQ > P
  • CR > Q
  • DS < R

Step-by-Step Solution

Decoding gives P > Q ≥ R < S, so P > Q ≥ R means P > R. R < S rules out S < R, P > Q rules out Q > P, and Q ≥ R rules out R > Q.
Answer: A) P > R

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