Answer Happy

From the following propositions, select the one that is not a tautology a. [((p ->q) AND p) -> ] OR [((p ->q) AND NOT G)-> NOT Pl. b. [(p -> ) AND (q -> )) -> (p->r). C. (p <-> 9) XOR (NOT P <-> NOTr). d. p AND ( OR r) <-> (P AND ) OR (P AND r).

The following statement is given: If you will give me a smartphone, then I will give you crystal ball. From the following sentences, state the one that is the contrapositive: a. If you will give me a smartphone, then I will not give you crystal ball. ob. If I will not give you crystal ball, then you will not give me a smartphone. C. If I will give you crystal ball, then you will give me a smartphone. 0 d. If you will not give me a smartphone, then I will not give you crystal ball. e. You will give me a smartphone and I will not give you crystal ball. f. If I will give you crystal ball, then you will not give me a smartphone.

Let the universe of discourse be the set of positive integers. By selecting True or False, give the truth value of the following: ThereExists Unique x (x = 2x + 1). Select one: True False

Let the universe of discourse for x, y, and z be the set of positive integers. Let P(x, y, z) denote the statement x^2 + y^2 - x^2 = 0. By selecting True or False, give the truth value of the following: ForEvery z ThereExists Unique x ThereExists Unique y P(x, y, z). Select one: True False