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3. Suppose P and Q are the statements: P: Jack passed math. Q: Jill passed math. (a) Translate “Jack and Jill both passed math" into symbols. (b) Translate “If Jack passed math, then Jill did not" into symbols. (c) Translate “P v Q" into English.

3. Suppose P and Q are the statements: P: Jack passed math. Q: Jill passed math. (a) Translate “Jack and Jill both passed math" into symbols. (b) Translate “If Jack passed math, then Jill did not" into symbols. (c) Translate “P v Q" into English.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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3. Suppose P and Q are the statements: P: Jack passed math. Q: Jill passed math. (a) Translate “Jack and Jill both passed math" into symbols. (b) Translate "If Jack passed math, then Jill did not" into symbols. (c) Translate "P v Q" into English. (d) Translate “¬(P ^ Q) → Q" into English. 18 0. INTRODUCTION AND PRELIMINARIES (e) Suppose you know that if Jack passed math, then so did Jill. What can you conclude if you know that: i. Jill passed math? ii. Jill did not pass math?
Transcribed Image Text:3. Suppose P and Q are the statements: P: Jack passed math. Q: Jill passed math. (a) Translate “Jack and Jill both passed math" into symbols. (b) Translate "If Jack passed math, then Jill did not" into symbols. (c) Translate "P v Q" into English. (d) Translate “¬(P ^ Q) → Q" into English. 18 0. INTRODUCTION AND PRELIMINARIES (e) Suppose you know that if Jack passed math, then so did Jill. What can you conclude if you know that: i. Jill passed math? ii. Jill did not pass math?
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