Select the expression that is equivalent to the following statement: The average of two positive integers is smaller than their product. If x and y are integers then (x+y)/2 < xy. O If x and y are integers then (x+y)/2 ≤ xy. O If x and y are positive integers then (x+y)/2 < xy. O If x and y are positive integers then (x+y)/2 s xy. Question 24 Select the value for x that is a counter-example to the following statement: If x is an integer that is greater than 20 and composite, then x is evenly divisible by 3. O x = 10 O x = 23 Ox=27 3 pts x = 25
Select the value for x that is a counter-example to the following statement: For every integer x. x < x². x-1/2 Ox-1 Ox--1/2 8x=-1 Question 26 Theorem: For any two integers, x and y, if x + y is even, then x and y have the same parity. Which facts are assumed and which facts are proven in a direct proof of the theorem? Assumed: x and y are even integers Proven: x + y is even Assumed: x and y are integers such that x +y is even. Proven: x and y are both even. Assumed: x and y are integers such that x+y is even. Proven: x and y are both even or both odd. Assumed: integers x and y are both even or both odd Proven: x + y is even 3 pt