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91影视

Accept the two statements as given information. State a conclusion based on deductive reasoning. If no conclusion can be reached, write none.

Valerie is older than Greg.

Dan is older than Greg

Short Answer

Expert verified

From statements 鈥淰alerie is older than Greg鈥 and 鈥淒an is older than Greg鈥 no conclusion can be reached; therefore,none is the answer.

Step by step solution

01

Step 1. Define deductive reasoning.

Deductive reasoning is conclusions based on accepted statements like a theorem, postulate, facts etc.

02

Step 2. State the reasoning.

Now Valerie is older than Greg and Dan is older than Greg.

Case 1:

Let Valerie鈥檚 age be 10 years, Greg鈥檚 age be 8 years and Dan鈥檚 age be 9 years.

In this case it can be observed that Valerie is older than Greg and Dan is older than Greg such that Valerie is older than Dan.

Case 2:

Let Valerie鈥檚 age be 9 years, Greg鈥檚 age be 8 years and Dan鈥檚 age be 10 years.

In this case it can be observed that Valerie is older than Greg and Dan is older than Greg but Dan is older than Valerie.

03

Step 3. State the conclusion.

From case 1 and case 2, it can be observed that either Valerie is older than Dan or Dan is older than Valerie.

Thus, no conclusion can be drawn.

Therefore, from statements 鈥淰alerie is older than Greg鈥 and 鈥淒an is older than Greg鈥 no conclusion can be reached.

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