Geometry help please.?

Question

find one counter example to show that each conjecture is false.

1. The difference of two integers is less than either integer.

2. The quotient of two proper fractions is a proper fraction.

Answer 1

1.  if the two integers are 5 and -3, then the difference is 5 - (-3) = 8



This is greater than both integers, thus a counter example

2.  if the two proper fractions are (3/5) and (1/5) then the quotient

3/5 divided by 1/5 = 3  which is not a proper fraction

Answer 2

Basically, you show an example that proves those statements wrong, so here are examples for your statements.

1. 4 - (-8) = 12

2. 1/2 divided by 1/4 = 2, or 2/1

Answer 3

1. You could do negative numbers. like 5 minus -5 equals 10 which is greater than 5.

2.This is simple. Anything will work. Such as (1/2)/(1/4) equals 2 or (2/3)/(1/7) equals 14/3 which is an improper fraction.

Answer 4

1. (-2)- (-5)

(-2)+5

5-2

3

2. (1/2) / (1/3)

(1/2) * (3/1)

3/2