Answered: Using the symbolic representations…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

Using the symbolic representations given below:

p: You are a criminal.p: You are a criminal.
q: You break the lawq: You break the law

Express the following compound statements in symbolic form.

Statement 1: You are a criminal only if you break the law.You are a criminal only if you break the law.
A. ∼p→q∼�→�
B. q→p�→�
C. ∼q→p∼�→�
D. p→q�→�
E. q→∼p�→∼�
F. p→∼q�→∼�

Statement 2: If you are not a criminal, you do not break the law.If you are not a criminal, you do not break the law.
A. q→∼p�→∼�
B. p→∼q�→∼�
C. ∼q→p∼�→�
D. ∼p→∼q∼�→∼�
E. ∼q→∼p∼�→∼�
F. ∼p→q∼�→�

FILL BLANK: Statement 2 is the ________ of Statement 1.
A. contrapositive
B. inverse
C. converse

Statement 1 and Statement 2 are:
A. equivalent
B. not equivalent

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