In the given statements, the relationships between elements are as follows: $P \geq V \geq R \leq E N$ Based on these, determine which of the following conclusions is/are true: I. $P N$ II. $G \geq Y$ Choose the correct option:

Question

In the given statements, the relationships between elements are as follows:

$P \geq V \geq R \leq E < Y$;  $G \geq E > N$

Based on these, determine which of the following conclusions is/are true:

I. $P > N$

II. $G \geq Y$

Choose the correct option:

Accepted Answer

**Solution:** 1. Analyze the given statements: - $P \geq V \geq R \leq E < Y$ - $G \geq E > N$ 2. From the first statement chain: - Since $P \geq V \geq R$ and $R \leq E$, it implies $P \geq R \leq E$. - Also, $E < Y$ means $E$ is less than $Y$. 3. From the second statement: - $G \geq E$ and $E > N$ imply $G \geq E > N$. 4. Evaluate Conclusion I: $P > N$ - Since $P \geq V \geq R \leq E$ and $E > N$, it follows that $P$ is greater than or equal to $E$, which is greater than $N$. - Therefore, $P > N$ is true. 5. Evaluate Conclusion II: $G \geq Y$ - From the statements, $G \geq E$ and $E < Y$. - Since $E$ is less than $Y$, and $G$ is greater than or equal to $E$, it does not necessarily mean $G \geq Y$. - So, conclusion II is false. **Answer:** (a) Only conclusion I is true.

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