In the given statements: $S A = N \geq D$; $A \geq L E$; $M \leq L \leq D$. Determine which of the following conclusions is/are true: I. $S E$ II. $L

Question

In the given statements: $S > A = N \geq D$; $A \geq L > E$; $M \leq L \leq D$. Determine which of the following conclusions is/are true:

I. $S > E$

II. $L < S$

Accepted Answer

**Solution:**

1. Analyze the given statements:
   - $S > A = N \geq D$
   - $A \geq L > E$
   - $M \leq L \leq D$

2. From $S > A$ and $A \geq L$, it follows that:
   - $S > A \geq L$ so $S > L$

3. From $L > E$, it follows that:
   - $S > L > E$ which implies $S > E$

4. Check conclusions:
   - Conclusion I: $S > E$ is true.
   - Conclusion II: $L < S$ is also true because $S > L$.

5. However, the question asks to select the option based on the given choices:
   - Since both conclusions I and II are true, option (e) would seem correct.

6. But re-examining the statements carefully:
   - $S > A = N \geq D$
   - $A \geq L > E$
   - $M \leq L \leq D$

Since $L \leq D$ and $N \geq D$, and $A = N$, so $A \geq L$ is consistent.

7. Since $S > A$ and $A \geq L$, $S > L$ is true, so conclusion II is true.

8. Since $L > E$, and $S > L$, $S > E$ is true, so conclusion I is true.

**Answer:** (e) If both conclusions I and II are true.

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