명제와 조건 연습문제 — Sundstrom, Mathematical Reasoning · 1.1절

Sundstrom, Mathematical Reasoning · 1.1절영어 원문

Use the techniques of exploration to investigate each of the following statements. Can you make a conjecture as to whether the statement is true or false? Can you determine whether it is true or false?

If $x$ is an even integer, then $x^2$ is an even integer.

정답·풀이 보기 (영어 원문)

This proposition appears to be true. Anytime we use an example where $x$ is an even integer, the number $x^2$ is an even integer. However, we cannot claim that this is true based on examples since we cannot list all of the examples where $x$ is an even integer.

한 번 더 — 비슷한 문제Sundstrom, Mathematical Reasoning · 1.1절영어 원문

Use the techniques of exploration to investigate each of the following statements. Can you make a conjecture as to whether the statement is true or false? Can you determine whether it is true or false?

There are integers $x$ and $y$ such that $2x+5y=41$ .

다 풀었으면 정답 확인

This proposition is true, as we can see by using $x = 3$ and $y = 7$ . We could also use $x = -2$ and $y = 9$ . There are many other possible choices for $x$ and $y$ .

이 문제로 이어서 풀기

# 명제와 조건개념 확인자동 분류