please answer Q5 only, thanks. Q4. Simplify the following sentences in predicate logic so that all the negation symbols aredirectly in front of a predicate. (For example, Vr (-0(1)) (-E(r))) is simplified,because the negation symbols are directly in front of the predicates O and E. However,Vr -(P(x) V E(x)) is not simplified.)(i) -(3r (P(x) V (E(x) → S(x))))(ii) -(Vz (E(r) A (P(x) →¬(3y G(x, y)))Q5. Write a sentence in predicate logic (using the same predicates as above) which is true whenthe domain is the class of positive integers (1, 2, 3, ...), but is false when the domain is theclass of all integers (...,-2, -1,0, 1, 2, ...). (You do not need to explain your answer.)

5. our domain is the class of positive integers. Let P(x) stand for the statement “x is a prime…

Q5. Write a sentence in predicate logic (using the same predicates as above) which is true when the domain is the class of positive integers (1, 2,3,...), but is false when the domain is the class of all integers (...,-2, –1,0, 1, 2, ...). (You do not need to explain your answer.)

Q5. Write a sentence in predicate logic (using the same predicates as above) which is true when the domain is the class of positive integers (1, 2,3,...), but is false when the domain is the class of all integers (...,-2, –1,0, 1, 2, ...). (You do not need to explain your answer.)

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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