Identify the appropriate conclusion based on the premises

Premise 1: Only if the server is online will the website load.

Premise 2: The website did not load.

Conclusion:

Question

Identify the appropriate conclusion based on the premises Premise 1: All successful entrepreneurs are risk-takers. Premise 2: Some risk-takers are not successful entrepreneurs. Conclusion:

Option 1: All risk-takers are successful entrepreneurs.

Option 2: Some successful entrepreneurs are not risk-takers.

Option 3: Some risk-takers may not be entrepreneurs.

Option 4: No risk-taker is a successful entrepreneur.

AfterBoards · Accepted Answer

**Option 3: Some risk-takers may not be entrepreneurs.** Premise 2 directly tells us that "some risk-takers are NOT successful entrepreneurs," which supports this conclusion. Think of it like this: Imagine a big circle called "Risk-Takers" and a smaller circle inside it called "Successful Entrepreneurs." Every entrepreneur is inside the risk-taker circle, but the risk-taker circle is bigger — meaning there are people in it who are NOT entrepreneurs (like a mountain climber or a bungee jumper). Let's confirm by checking the other options: - **Option 1** is wrong because Premise 1 says all entrepreneurs are risk-takers, NOT the other way around. - **Option 2** is wrong because it directly contradicts Premise 1, which says ALL successful entrepreneurs are risk-takers. - **Option 4** is wrong because Premise 1 confirms that successful entrepreneurs ARE risk-takers, so some risk-takers are definitely entrepreneurs. Hence, **Option 3** is correct.

Identify the appropriate conclusion based on the premises $$\newline$$ Premise 1: All successful entrepreneurs are risk-takers. $\newline$ Premise 2: Some risk-takers are not successful entrepreneurs. $\newline$ Conclusion:

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