Ask Question
5 November, 19:20

if x and y are consecutive non-zero integers, then it must be true that (a) xy is odd (b) x^2+y is even (c) x+xy is odd (d) x+y is odd

+2
Answers (1)
  1. 5 November, 19:49
    0
    (d) x+y is odd

    Step-by-step explanation:

    x and y are consecutive nonzero integers.

    Then either

    (1) x is even and y is odd

    or

    (2) x is odd and y is even.

    (a) odd times even is even, so (a) is false

    (b) According to (1), x^2 + y is odd, and according to (2) x^2 + y is also odd. (b) is false.

    (c) Just xy is even according to (1) and (2). According to (1) x + xy is even, and according to (2) x + xy is odd, so (c) is false.

    (d) x + y is "odd plus even" or "even plus odd" and is always odd. (d) is true.

    Answer: (d) x+y is odd
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “if x and y are consecutive non-zero integers, then it must be true that (a) xy is odd (b) x^2+y is even (c) x+xy is odd (d) x+y is odd ...” in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers