**Statements:**

$A

Question

**Statements:**

$A < B = C \, \geq \, D$; $E \, \geq \, C < F$; $G \, \leq \, F < H$

**Conclusions:**

I. $A < H$

II. $E \, \geq \, D$

Determine which of the conclusions logically follow from the given statements.

Accepted Answer

**Solution:**

1. From the statements, we have:
   - $A < B = C \geq D$
   - $E \geq C < F$
   - $G \leq F < H$

2. To check conclusion I: $A < H$
   - Since $A < B = C$ and $C < F < H$, by transitive property, $A < H$ holds true.

3. To check conclusion II: $E \geq D$
   - Given $E \geq C$ and $C \geq D$, so $E \geq D$ also holds true.

4. Both conclusions I and II logically follow from the given statements.

**Answer:** Both conclusions I and II are true

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