Answer:
Here we have the statement:
" Every negative integer J is less than or equal to its inverse"
First, remember that when we are talking about negative numbers, the ones that are closer to 0 are the larger ones.
For example, if we have -1 and -5
-1 is closer to zero, then:
-1 > -5
Now we have a negative integer J.
The smallest negative integer is -1
it's inverse is 1/-1 = -1
Then, if j = -1:
j = 1/j
-1 = 1/-1 = -1
and if j < -1 (-2, -3, -4, -5.......)
then for example, for j = -2
1/-2 = - (1/2)
and (-1/2) is a number between -1 and 0
So it is closer to zero than -2
then:
(-1/2) > -2.
Then, concludin, if IjI > 1, we have always that 0 > 1/j > -1 > j.
