Statement 2: If I have surgery, then I do have health insurance.If I have surgery, then I do have health insurance. 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. converse C. inverse Statement 1 and Statement 2 are: A. equivalent B. not equivalent

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: I have surgery.p: I have surgery.
q: I have health insuranceq: I have health insurance

Express the following compound statements in symbolic form.

Statement 1: I do not have surgery if I do not have health insurance.I do not have surgery if I do not have health insurance.
A. ∼p→∼q∼�→∼�
B. ∼q→p∼�→�
C. p→∼q�→∼�
D. ∼q→∼p∼�→∼�
E. ∼p→q∼�→�
F. q→∼p�→∼�

Statement 2: If I have surgery, then I do have health insurance.If I have surgery, then I do have health insurance.
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. converse
C. inverse

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

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