**Statement:** &@ *% = #% @! ≤ *^ **Conclusions:** I. *% @! II. *^

Question

**Statement:** &@ > *% = #% < @$, #% > @! ≤ *^ **Conclusions:** I. *% > @! II. *^ < &@ Assuming the given statement to be true, find which of the conclusions is/are definitely true.

Accepted Answer

**Solution:** 1. From the statement, we have the following inequalities: - &@ > *% - *% = #% < @$ - #% > @! - @! ≤ *^ 2. Analyze conclusion I: *% > @! - Since *% = #% and #% > @!, it follows that *% > @!. - Therefore, conclusion I is true. 3. Analyze conclusion II: *^ < &@ - From the statement, we know @! ≤ *^ and #% > @!, so *^ is at least as large as @!. - Also, &@ > *% and *% = #%. - However, there is no direct comparison between *^ and &@. - Hence, conclusion II cannot be definitely determined as true. **Answer:** Only conclusion I is true.

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