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D stion 23 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. 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 O x = 10 O x = 23 O x = 27 O x = 25 3 pts 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.
Select the value for x that is a counter-example to the following statement: For every integer x, x < x². x=1/2 x-1 Ox= -1/2 Ox=-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? O 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. O 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
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