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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

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

Advanced Engineering Mathematics
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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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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