**Statement:** 873 532 471 II. 341

Question

**Statement:** 873 > 532 < 462 = 943, 532 ≥ 471 = 341 **Conclusions:** I. 462 > 471 II. 341 < 873 Assuming the given statements are true, identify which conclusion(s) definitely follow.

Accepted Answer

**Solution:** 1. From the statement, analyze the inequalities step-by-step: - Given: $873 > 532 < 462 = 943$ - This means $873 > 532$ and $532 < 462$ and $462 = 943$ - Also given: $532 \geq 471 = 341$ - This means $532 \geq 471$ and $471 = 341$ 2. From $462 = 943$, it follows that $462$ and $943$ are equal. 3. From $471 = 341$, it follows that $471$ and $341$ are equal. 4. Now, check conclusion I: $462 > 471$ - Since $462 = 943$ and $471 = 341$, this is equivalent to checking if $943 > 341$. - Clearly, $943 > 341$ is true. 5. Check conclusion II: $341 < 873$ - Since $341 = 471$, and from the statement $873 > 532 \geq 471$, it follows that $873 > 471$. - Therefore, $341 < 873$ is true. **Answer:** Both conclusions I and II are true.

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