5) Predicates A, B and C are defined below. The domain of discourse for each is the set of integers. (10 points) • Ax):
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5) Predicates A, B and C are defined below. The domain of discourse for each is the set of integers. (10 points) • Ax):
5) Predicates A, B and C are defined below. The domain of discourse for each is the set of integers. (10 points) • Ax): r* 20 BOX, y, z): x <y <z C{x}; x is prime Indicate whether each logical expression is a predicate or a proposition. If the proposition is a true, then justify why it's true. If the proposition is a false, then give a counterexample. a. B(-1,-2-3) b. C(1) C. 3x (A(x) AC(x)) d. C(3. m) e. Vx (Ax) 6) Apply De Morgan's law to each of the following quantified statements to obtain an equivalent quantified statement for each: (Hint: Simplify inside the parentheses fully) (8 points) 1.-3x (Px) A-02) 2-x{-P(x) v ((Q(x) A-P(x)) V-R(x)}})
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