Recall that a quadrilateral is a four-sided polygon. Let $S$ represent the following true conditional statement:

If a quadrilateral is a square, then it is a rectangle.

Write this conditional statement in English using

the word “whenever”

정답·풀이 보기 (영어 원문)

Whenever a quadrilateral is a square, it is a rectangle, or a quadrilateral is a rectangle whenever it is a square.

한 번 더 — 비슷한 문제 풀기Sundstrom, Mathematical Reasoning · 1.1절 · 1b번

# 명제와 조건계산자동 분류

68.Sundstrom, Mathematical Reasoning · 2.1절영어 원문

Recall that a quadrilateral is a four-sided polygon. Let $S$ represent the following true conditional statement:

If a quadrilateral is a square, then it is a rectangle.

Write this conditional statement in English using

the phrase “only if”

정답·풀이 보기 (영어 원문)

A quadrilateral is a square only if it is a rectangle.

한 번 더 — 비슷한 문제 풀기Sundstrom, Mathematical Reasoning · 1.1절 · 1e번

# 명제와 조건계산자동 분류

69.Sundstrom, Mathematical Reasoning · 2.1절영어 원문

Recall that a quadrilateral is a four-sided polygon. Let $S$ represent the following true conditional statement:

If a quadrilateral is a square, then it is a rectangle.

Write this conditional statement in English using

the phrase “is necessary for”

정답·풀이 보기 (영어 원문)

Being a rectangle is necessary for a quadrilateral to be a square.

한 번 더 — 비슷한 문제 풀기Sundstrom, Mathematical Reasoning · 2.1절 · 9d번

# 충분조건과 필요조건계산자동 분류

70.Sundstrom, Mathematical Reasoning · 2.1절영어 원문

Recall that a quadrilateral is a four-sided polygon. Let $S$ represent the following true conditional statement:

If a quadrilateral is a square, then it is a rectangle.

Write this conditional statement in English using

the phrase “is sufficient for”

정답·풀이 보기 (영어 원문)

Being a square is sufficient for a quadrilateral to be a rectangle.

한 번 더 — 비슷한 문제 풀기Sundstrom, Mathematical Reasoning · 2.1절

# 충분조건과 필요조건계산자동 분류

71.Sundstrom, Mathematical Reasoning · 2.1절 · 2a번영어 원문

Suppose that $P$ and $Q$ are statements for which $P \to Q$ is true and for which $\neg Q$ is true. What conclusion (if any) can be made about the truth value of each of the following statements?

$P$

정답·풀이 보기 (영어 원문)

$P$ is false.

한 번 더 — 비슷한 문제 풀기Sundstrom, Mathematical Reasoning · 2.1절 · 2b번

# 명제와 조건계산자동 분류

72.Sundstrom, Mathematical Reasoning · 2.1절 · 2b번영어 원문

Suppose that $P$ and $Q$ are statements for which $P \to Q$ is true and for which $\neg Q$ is true. What conclusion (if any) can be made about the truth value of each of the following statements?

$P \wedge Q$

정답·풀이 보기 (영어 원문)

$P \wedge Q$ is false.

한 번 더 — 비슷한 문제 풀기Sundstrom, Mathematical Reasoning · 2.1절 · 9c번

# 명제와 조건계산자동 분류

73.Sundstrom, Mathematical Reasoning · 2.1절 · 2c번영어 원문

Suppose that $P$ and $Q$ are statements for which $P \to Q$ is true and for which $\neg Q$ is true. What conclusion (if any) can be made about the truth value of each of the following statements?

$P \vee Q$

정답·풀이 보기 (영어 원문)

$P \vee Q$ is false.

한 번 더 — 비슷한 문제 풀기Sundstrom, Mathematical Reasoning · 1.1절

# 명제와 조건계산자동 분류

74.Sundstrom, Mathematical Reasoning · 2.1절 · 3a번영어 원문

Suppose that $P$ and $Q$ are statements for which $P \to Q$ is false. What conclusion (if any) can be made about the truth value of each of the following statements?

$\neg P \to Q$

원본 교재에 이 문제의 정답은 실려 있지 않습니다.

한 번 더 — 비슷한 문제 풀기Sundstrom, Mathematical Reasoning · 2.4절

# 명제와 조건계산자동 분류

75.Sundstrom, Mathematical Reasoning · 2.1절 · 3b번영어 원문

Suppose that $P$ and $Q$ are statements for which $P \to Q$ is false. What conclusion (if any) can be made about the truth value of each of the following statements?

$Q \to P$

원본 교재에 이 문제의 정답은 실려 있지 않습니다.

한 번 더 — 비슷한 문제 풀기Sundstrom, Mathematical Reasoning · 1.1절 · 1k번

# 명제와 조건계산자동 분류

76.Sundstrom, Mathematical Reasoning · 2.1절 · 3c번영어 원문

Suppose that $P$ and $Q$ are statements for which $P \to Q$ is false. What conclusion (if any) can be made about the truth value of each of the following statements?

$P \vee Q$

원본 교재에 이 문제의 정답은 실려 있지 않습니다.

한 번 더 — 비슷한 문제 풀기Sundstrom, Mathematical Reasoning · 2.1절 · 11d번

# 명제와 조건계산자동 분류

77.Sundstrom, Mathematical Reasoning · 2.1절 · 7번영어 원문

Construct truth tables for $P \wedge \left( {Q \vee R} \right)$ and $\left( {P \wedge Q} \right) \vee \left( {P \wedge R} \right)$ . What do you observe?

정답·풀이 보기 (영어 원문)

| $P$ | $Q$ | $R$ | $P \wedge (Q \vee R)$ | $(P \wedge Q) \vee (P \wedge R)$ | | --- | --- | --- | --- | --- | | T | T | T | T | T | | T | T | F | T | T | | T | F | T | T | T | | T | F | F | F | F | | F | T | T | F | F | | F | T | F | F | F | | F | F | T | F | F | | F | F | F | F | F |

The two statements have the same truth table.

한 번 더 — 비슷한 문제 풀기Sundstrom, Mathematical Reasoning · 2.4절 · 4a번

# 명제와 조건계산자동 분류

78.Sundstrom, Mathematical Reasoning · 2.1절 · 8a번영어 원문

Suppose each of the following statements is true.

Laura is in the seventh grade. - Laura got an A on the mathematics test or Sarah got an A on the mathematics test. - If Sarah got an A on the mathematics test, then Laura is not in the seventh grade.

If possible, determine the truth value of each of the following statements. Carefully explain your reasoning.

Laura got an A on the mathematics test.

원본 교재에 이 문제의 정답은 실려 있지 않습니다.

한 번 더 — 비슷한 문제 풀기Sundstrom, Mathematical Reasoning · 2.1절

# 명제와 조건계산자동 분류

79.Sundstrom, Mathematical Reasoning · 2.1절 · 8b번영어 원문

Suppose each of the following statements is true.

Laura is in the seventh grade. - Laura got an A on the mathematics test or Sarah got an A on the mathematics test. - If Sarah got an A on the mathematics test, then Laura is not in the seventh grade.

If possible, determine the truth value of each of the following statements. Carefully explain your reasoning.

Sarah got an A on the mathematics test.

원본 교재에 이 문제의 정답은 실려 있지 않습니다.

한 번 더 — 비슷한 문제 풀기Sundstrom, Mathematical Reasoning · 2.1절

# 명제와 조건계산자동 분류

80.Sundstrom, Mathematical Reasoning · 2.1절 · 8c번영어 원문

Suppose each of the following statements is true.

Laura is in the seventh grade. - Laura got an A on the mathematics test or Sarah got an A on the mathematics test. - If Sarah got an A on the mathematics test, then Laura is not in the seventh grade.

If possible, determine the truth value of each of the following statements. Carefully explain your reasoning.

Either Laura or Sarah did not get an A on the mathematics test.

원본 교재에 이 문제의 정답은 실려 있지 않습니다.

한 번 더 — 비슷한 문제 풀기Sundstrom, Mathematical Reasoning · 2.1절 · 1번

# 명제와 조건계산자동 분류