That might be -3, -4, -5, etc. (any number that is to the left of -2, on a standard number line).
Integers greater than -3 and less than 2 are: -2 -1 0 1
An integer is a whole number, and the largest integer less than 9.5 would be 9.4
The largest integer equal to -100 is -100. The largest integer less than -100 is -101.
By definition, a negative integer is any integer less than zero. Similarly, a positive integer is any integer greater than zero. It should be immediately obvious that an integer cannot be both less than and greater than zero. Therefore, a negative integer cannot be greater than a positive integer.
2,4,6, and 8 are examples as are -2,-4,-6
Subtract any POSITIVE integer from -2, and you get an integer that is smaller.
Integers greater than -3 and less than 2 are: -2 -1 0 1
2
2
The greatest even integer less than 2 is 0, and the smallest even integer greater than 1 is 2. Therefore, the sum of these two integers is 0 + 2, which equals 2.
2
1
1 ... 2 ... An integer is just a whole number.
A counterexample to the statement "the difference of two integers is less than either integer" can be demonstrated with the integers 5 and 3. The difference is (5 - 3 = 2). Here, 2 is not less than either integer, as it is less than 5 but greater than 3. Thus, this example shows that the difference can be less than one integer but not the other.
The greatest positive even integer less than 12 is 10
-5
3