Question

Refer to the two statements below. Which pair of words will make the statements true?

1) 5 is __ than –2
2) –2 is __ than –5

A) less for statement 1 and less for statement 2

B) greater for statement 1 and less for statement 2

C) greater for statement 1 and greater for statement 2

D) less for statement 1 and greater for statement 2

Answer 1

5 is greater then -2
-2 is greater then -5

answer is C

Answer 2

C) Greater for statement 1 and greater for statement 2.

Explanation:

If you have a number
`a` and a number
`b` then,

`b` is greater than
`a` (
`b>a`) if and only if
`b-a>0`

1) 5 is ___ than -2.

5 is greater than -2 if and only if

`5-(-2)>0\\5+2>0\\7>0`

5 is greater than -2.

2. -2 is ___ than -5.

-2 is greater than -5 if and only if

`-2-(-5)>0\\-2+5>0\\3>0`

-2 is greater than -5.

Then the answer is

C) Greater for statement 1 and greater for statement 2.