The integer greater than -3 and less than 2 is -2. This is because it is the largest integer that is greater than -3 but still less than 2. In the number line, -2 falls between -3 and 2.
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There are no negative integers greater than 2. Negative integers are less than zero, while the integer 2 is positive. Therefore, the set of negative integers consists of numbers like -1, -2, -3, and so on, which do not exceed 2.
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.
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.
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
-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.
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.
Subtract any POSITIVE integer from -2, and you get an integer that is smaller.
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That can be expressed as -4 < [|x|] < 3. Those integers are -3, -2, -1, 0, 1, and 2.