0 1 2 3 4
5 > (greater than) 2 2 < (less than) 5
The solution is that a is any number: integer, rational or irrational, that is greater than 2. There is no other way of putting it.
-2 is less than 2 -2 < 2
Positive integers are the counting numbers (1, 2, 3, 4, 5 and so on) greater than zero. Negative integers are their counterparts (-1, -2, -3, -4, -5 and so on) less than zero.
2
-2, -1, 0 ,1
3
-2, -1, 0 ,1
-6
-4
It can be greater than, equal or less than the original integer. There are three possible values for the second integer: It is positive, in which case the result will be less than the original integer, eg 5 - 2 = 3 and 3 < 5;It is zero, in which case the result will be the same as the original integer, eg 5 - 0 = 5 and 5 = 5;It is negative, in which case the result will be greater than the original integer, eg 5 - -2 = 7 and 7 > 5.
Subtract any POSITIVE integer from -2, and you get an integer that is smaller.
0 1 2 3 4
That can be expressed as -4 < [|x|] < 3. Those integers are -3, -2, -1, 0, 1, and 2.
2
2