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

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

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

Case 1:

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

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 “Valerie is older than Greg” and “Dan is older than Greg” no conclusion can be reached.