Question

If x is a positive integer and y is a negative integer,which of the following comparisons must be true?

Answer 1

Answer:

  C.  x - y > x

Step-by-step explanation:

You can compare the values of these expressions by using numerical values for x and y.

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We can let x = 1 (a positive integer), and y = -1 (a negative integer).

A

  y > x + y

  -1 > 1 + (-1)

  - 1 > 0 . . . . . . false

B

  y < xy

  -1 < (1)(-1)

  -1 < -1 . . . . . . false

C

 x - y > x

  1 - (-1) > 1

  2 > 1 . . . . . . true

D

  -xy < x

  -(1)(-1) < 1

  1 < 1 . . . . . . . false