Question 1210202
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The AI solution from the other tutor is wrong; a subset of the integers from 0 to 9 inclusive can't contain the same element twice.<br>
The requirements are that the subset must contain at least two elements and the sum of the two largest elements is 4.<br>
(1) If the largest element in the subset is 4 and the sum of the two largest elements is 4, then the second largest element in the subset is 0.  Then, since 0 and 4 are the two largest elements, there can be no other elements in the subset.<br>
So the subset {4,0} satisfies the conditions.<br>
(2) If the largest element in the subset is 3 and the sum of the two largest elements is 4, then the second largest element in the subset is 1.  Then, since 3 and 1 are the two largest elements, the subset can either contain or not contain the element 0.<br>
So the subsets {3,1} and {3,1,0} satisfy the conditions.<br>
There are no other subsets that satisfy the conditions.<br>
ANSWER: There are three subsets that satisfy the conditions:
{4,0}
{3,1}
{3,1,0}<br>