Question
4.11 Convert the following using predicate calculus that contain double quantifiers: a. Any even integer is equal to twice some other even integer b. Some
4.11
Convert the following using predicate calculus that contain double quantifiers:
a. Any even integer is equal to twice some other even integer
b. Some natural number is no bigger than every natural number
4.14
Write the negation in predicate math:
a. All managers work for at least 40 hours a week.
- Let P(x): x is a manager, Q(x): x works for at least 40 hrs week
- Vx(P(x)-> Q(x))
b. Some Dolphins do not have gills
- Let P(x): x is dolphins, Q(x): x have gills
- x(P(x) ~Q(x))
c. Every rational number multiplied by 10 is positive
- Let P(x): x is a rational number, Q(x): x multiplied by 2 is positive
- Vx( P(x)-> Q(x))
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