Given the following statements: - $L I = N P$ - $I R K$ - $N \leq E P$ II. $R

Question

Given the following statements: - $L > I = N > P$ - $I > R > K$ - $N \leq E < Z$ Determine the truth of the conclusions: 6. Conclusions: I. $E > P$ II. $R < L$ Choose the correct option: (a) If only conclusion I is true. (b) If only conclusion II is true. (c) If either conclusion I or II is true. (d) If neither conclusion I nor II is true. (e) If both conclusions I and II are true.

Accepted Answer

**Solution:** 1. From the statements, we have the following order relations: - $L > I = N > P$ - $I > R > K$ - $N \leq E < Z$ 2. Analyze Conclusion I: $E > P$ - Since $N > P$ and $N \leq E$, it follows that $E \geq N > P$. - Therefore, $E > P$ is true. 3. Analyze Conclusion II: $R < L$ - From $L > I$ and $I > R$, by transitivity, $L > I > R$. - Hence, $R < L$ is true. 4. Both conclusions I and II are true. **Answer:** (e) If both conclusions I and II are true.

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