Question: Select the mistake that is made in the proof given below. Theorem. The sum of two odd integers is even. Proof. Since x is

Select the mistake that is made in the proof given below. Theorem.

Select the mistake that is made in the proof given below. Theorem. The sum of two odd integers is even. Proof. Since x is odd, x = 2k + 1 for some integer k. Since y is odd, y = 2j + 1, for some integer j. Plugging in the expression 2k + 1 for x and 2j + 1 for y into x + y gives x + y = (2k + 1) + (2j + 1) = 2k +2k + 2 = 2(k+j+1) Since k and j are integers, k+j+1 is also an integer. Therefore, since x + y is equal to 2m, where m=k+j+1 is an integer, x + y is even. a. Generalizing from examples. b. Misuse of existential instantiation. c. Failure to properly introduce a variable. d. Assuming facts that have not yet been proven.

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