Question

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

Chan is older than Pedro.

Pedro is older than Sarah.

Short answer

The statements “Chan is older than Pedro” and “Pedro is older than Sarah” implies thatChan is older than Sarah.

Step-by-step solution

Step 1. Define deductive reasoning.

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

Step 2. State the reasoning.

Let the age of Chan, Pedro, and Sarah bex,y, andzrespectively.

Then by statement 1, “Chan is older than Pedro.” we can imply that $x>y$.

Similarly, by statement 2, “Pedro is older than Sarah.” we can imply that $y>z$.

Step 3. State the conclusion.

By using the transitive property, we can conclude that since, $x>y$and $y>z$, therefore, $x>z$. That is, Chan is older than Sarah.

Therefore, the statements “Chan is older than Pedro” and “Pedro is older than Sarah” implies that Chan is older than Sarah.