1-Let the predicate P(x,y) be x^2=y where x and y are integers. Which one of the following is a proposition?

P(x, 2)

P(1, y)

P(x, y)

P(2, 1)

2-Theorem: For any real number x, if x²-6x+5>0, then x>5 or x<1.

Which facts are assumed and which facts are proven in a proof by contrapositive of the theorem?

Assumed: x5 or x1

Proven: x²-6x+50

Assumed: x5 or x1

Proven: x²-6x+50

Assumed: x5 and x1

Proven: x²-6x+50

Assumed: 1

Proven: x²-6x+50

3-

The propositional variables b, v, and s represent the propositions:

b: Alice rode her bike today. v: Alice overslept today. s: It is sunny today.

Select the logical expression that represents the statement: Alice rode her bike today if it was sunny today and she did not oversleep.

(sv) b

b (s v)

b (s v)

s (v b)