Question

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

Answer 1

C. x - y > x

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