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Chapter 3: Q10. (page 107)

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

Expert verified

The statements 鈥淐han is older than Pedro鈥� and 鈥淧edro is older than Sarah鈥� implies thatChan is older than Sarah.

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.

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

Then by statement 1, 鈥淐han is older than Pedro.鈥� we can imply that x>y.

Similarly, by statement 2, 鈥淧edro is older than Sarah.鈥� we can imply that y>z.

03

Step 3. State the conclusion.

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

Therefore, the statements 鈥淐han is older than Pedro鈥� and 鈥淧edro is older than Sarah鈥� implies that Chan is older than Sarah.

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