Discrete Mathematic problems need help with 2b 3b and 4 If all domains are the c

Question

Discrete Mathematic problems

need help with 2b 3b and 4

If all domains are the collection of real numbers, what is the truth value of ....[Briefly justify your answer for each.] Forall x (squareroot x^2 - x = 0) Forall x y ((x + 1)y = 4) Express the negation of each of the following statements so that all negations immediately precede predicates. x (not P(x) S(x)) Forall y (x (Q(x) rightarrow (R(x, y) not S(y)))) Express the following statement using predicates, quantifiers, logical connectives, and mathematical operators. (Express your answer assuming all domains are the collection of real numbers and without using domain restriction.) "The product of any two real numbers greater than or equal to two is greater than three."

Explanation / Answer

Solution (2b) :- For every real number x there exist a real number y such that y(x+1)=4

Solution (4) :- xy[2 x*y 3]

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