Which of the following is true when you subtract integers?(1 point) Responses A negative integer minus a negative integer will always have a negative solution. A negative integer minus a negative integer will always have a negative solution. A positive integer minus a negative integer will always have a positive solution. A positive integer minus a negative integer will always have a positive solution. A positive integer minus a positive integer will always have a positive solution. A positive integer minus a positive integer will always have a positive solution. A negative integer minus a positive integer will always have a positive solution.

1 answer

Let's analyze the statements about subtracting integers:

  1. A negative integer minus a negative integer will always have a negative solution.

    • This is false. For example, if you take -2 - (-3), the result is -2 + 3 = 1, which is positive.
  2. A positive integer minus a negative integer will always have a positive solution.

    • This is true. Subtracting a negative integer is equivalent to adding its absolute value. For example, 5 - (-3) = 5 + 3 = 8, which is positive.
  3. A positive integer minus a positive integer will always have a positive solution.

    • This is false. For example, 3 - 5 = -2, which is negative.
  4. A negative integer minus a positive integer will always have a positive solution.

    • This is false. For example, -3 - 2 = -5, which is negative.

So, the only true statement is: A positive integer minus a negative integer will always have a positive solution.