Suppose You Wish to Prove a Theorem of the Form

question 151

Short Answer

Suppose you wish to prove a theorem of the form "if p then q." (a) If you give a direct proof, what do you assume and what do you prove? (b) If you give a proof by contraposition, what do you assume and what do you prove? (c) If you give a proof by contradiction, what do you assume and what do you prove?

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Definitions:

Maximize Benefits

The act of optimizing or getting the most advantageous results from a certain situation or set of resources.

Compounded Annually

Interest that is computed once per year and added to the account's total.

Consistent Annual Contributions

Regular annual payments or deposits made into a financial account or investment to grow savings over time.

Compounded Annually

Interest calculated on the initial principal and also on the accumulated interest of previous periods of a deposit or loan.