Consider the following statements: P:x is odd, Q: x is positive, R: -4
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
![Consider the following statements:
P:x is odd,
Q: x is positive,
R:-4 < x < 3,
S : |a| < 2.
Find all values of x E Z which make the statement [R ^ (PV¬Q)] = S false. Justify your answer.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe46fb2f1-0b47-4ee7-8cb0-8d5c576f509f%2Fcd52b4a4-05bb-4f99-ba67-586fac2f47dd%2Fppcvmmt_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Consider the following statements:
P:x is odd,
Q: x is positive,
R:-4 < x < 3,
S : |a| < 2.
Find all values of x E Z which make the statement [R ^ (PV¬Q)] = S false. Justify your answer.
Expert Solution

Step 1
The given statement is a logical if-then statement. So this statement becomes false only when S is false.
is x is negative.
x is odd or x is negative
is x ranges from -4 to 3 and x is odd or x is negative.
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Solved in 3 steps

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