**Statements:** $M A \geq P U$; $E U$; $E \geq L W$ **Conclusions:** I. $M L$ II. $W \leq A$ Assuming the given statements are true, determine which of the conclusions is/are definitely true.

Question

**Statements:**

$M > A \geq P > U$; $E < R > U$; $E \geq L > W$

**Conclusions:**

I. $M > L$

II. $W \leq A$

Assuming the given statements are true, determine which of the conclusions is/are definitely true.

Accepted Answer

**Solution:** 1. From the statements, we have: - $M > A \geq P > U$ - $E < R > U$ - $E \geq L > W$ 2. Analyze Conclusion I: $M > L$ - From the given, $M > A$ and $A \geq P > U$. - $L$ is related to $E$ and $W$ as $E \geq L > W$. - Since $E < R > U$, and $U$ is less than $P$, but no direct relation between $M$ and $L$ is established. - Therefore, we cannot definitively say $M > L$. 3. Analyze Conclusion II: $W \leq A$ - $W$ is less than $L$ which is less than or equal to $E$. - $A$ is greater than or equal to $P$ which is greater than $U$. - No direct comparison between $W$ and $A$ is given or can be inferred. - Hence, $W \leq A$ is not definitely true. 4. Since neither conclusion I nor II can be confirmed as definitely true, the correct answer is: **Answer:** (d) Neither I nor II is true.

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