In a coded inequality system: X * Y → X > Y, X$Y→ X≤Y.
Given A $ B * C, which is correct?
Show answer & explanation
Correct answer: B
Explanation
Given codes:
• X * Y means X > Y
• X $ Y means X ≤ Y
Given expression:
A $ B * C ⇒ A ≤ B > C
Analyzing the options:
• (A) A < B: Since A ≤ B, A can be equal to B. Hence, not definitely true.
• (B) B > C: Directly follows from the statement B > C. Hence, correct.
• (C) A > B: Contradicts A ≤ B.
• (D) A < C: Opposite comparison signs exist between A and C (≤ and >), so no definite relationship can be established.
Therefore, the correct option is B > C.