Suppose We Are Proving the Statement That If Two Integers

question 26

Multiple Choice

Suppose we are proving the statement that if two integers are even, then their sum is even. We execute the proof by first showing that if integer A and B are even, then they can be defined as A = 2k and B = 2m. We then note that their sum must be A + B = 2(k + m) , which must be even. This is an example of what type of proof?

• A) Proof by induction
• B) Proof by transposition
• C) Direct proof
• D) Inductive reasoning

---

Definitions:

Scanlon Plan

A gain-sharing program that rewards employees for incremental improvements in productivity and cost savings.

Cost Savings

The action of reducing expenses and improving efficiency in operations, often through methods such as budget cuts, restructuring, or investing in technology.

Suggest Strategies

The process of proposing plans or methods to solve specific problems or achieve objectives, typically within a business or organizational context.

Total Gain

The complete profit or advantage obtained from an investment or a series of transactions.