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Consider the following statements: P:x is odd, Q: x is positive, R: -4

Consider the following statements: P:x is odd, Q: x is positive, R: -4

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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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.
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. 

¬Q is x is negative. 

P∨¬Q: x is odd or x is negative

R∧P∨¬Q is x ranges from -4 to 3 and x is odd or x is negative. 

 

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