On the set of positive rational numbers, a binary operation * is defined by a * b = |a - b| . If 5 * p ≤ 5 , then the maximum value of p is: - Mathematics MCQ Mathematics Mock Test - 4 2026 | ExamTest.live

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On the set of positive rational numbers, a binary operation * is defined by a * b = ∣ a - b ∣ . If 5 * p \leq 5, then the maximum value of p is:

Solution & Step-by-step Explanation

Given a * b = ∣ a - b ∣ .Condition: 5 * p \leq 5 $ \Rightarrow ∣5 - p ∣ \leq 5 $ - 5 \leq 5 - p \leq 5 Subtract 5 from all sides: - 10 \leq - p \leq 0 Multiply by - 1 (reverse inequality): 0 \leq p \leq 10 The maximum value of p is 10.

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On the set of positive rational numbers, a binary operation * is defined by a * b = ∣ a - b ∣ . If 5 * p \leq 5, then the maximum value of p is:

10

0

8

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