4. Rewrite the following statements using quantifiers explicitly. You may use variable arithmetic and set symbols. Remember to use the given domain. Next, write its logical form, i.e., use the quantifier symbols and logic & set symbols, e as needed. a) If x is odd, then x is odd. Domain: Z. b) The sum of two odd numbers is even. Domain: Z. c) The number 50 is the difference of two primes. Domain: Z.
4. Rewrite the following statements using quantifiers explicitly. You may use variable arithmetic and set symbols. Remember to use the given domain. Next, write its logical form, i.e., use the quantifier symbols and logic & set symbols, e as needed. a) If x is odd, then x is odd. Domain: Z. b) The sum of two odd numbers is even. Domain: Z. c) The number 50 is the difference of two primes. Domain: Z.
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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Transcribed Image Text:4. Rewrite the following statements using quantifiers explicitly. You may use variables,
arithmetic and set symbols. Remember to use the given domain.
Next, write its logical form, i.e., use the quantifier symbols and logic & set symbols, etc.
as needed.
a) If x is odd, then x is odd. Domain: Z.
b) The sum of two odd numbers is even. Domain: Z.
c) The number 50 is the difference of two primes. Domain: Z.
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