
Write all the integers between -5 and 0.
Answer
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Hint: Integers are nothing but the whole numbers and also the negative of the set of whole numbers, which means that whole numbers start with 0, 1, 2, 3, and so on, but integers also include the negative of the whole numbers such as starting from the left of 0, such as -1, -2, -3 and so on. Therefore the integers are the whole numbers including the negative numbers and also including zero.
Complete step-by-step solution:
The Integers consist of both positive integers and also the negative integers including zero.
Here the positive integers are those integers which are greater than zero such as 1, 2, 3, and so on, whereas the negative integers are the integers which are less than zero which are -1, -2, -3 and so on.
The integers set consists of:
$\{ ...., - 3, - 2, - 1,0,1,2,3,....\} $
$\therefore $The integers from -5 and 0 are as follows:
$ - 5, - 4, - 3, - 2, - 1,0$
But whereas the integers which are in between the integers of -5 and 0 excludes the numbers -5 and 0, and remains with the numbers in between them :
$ - 4, - 3, - 2, - 1$
The integers between -5 and 0 are $ - 4, - 3, - 2, - 1$.
Note: All the whole numbers are integers but all the integers are not whole numbers, which is not vice-versa, because the whole numbers set consists of only numbers which are positive integers including zero, but whereas the integers set consists of both positive and negative integers including zero.
Complete step-by-step solution:
The Integers consist of both positive integers and also the negative integers including zero.
Here the positive integers are those integers which are greater than zero such as 1, 2, 3, and so on, whereas the negative integers are the integers which are less than zero which are -1, -2, -3 and so on.
The integers set consists of:
$\{ ...., - 3, - 2, - 1,0,1,2,3,....\} $
$\therefore $The integers from -5 and 0 are as follows:
$ - 5, - 4, - 3, - 2, - 1,0$
But whereas the integers which are in between the integers of -5 and 0 excludes the numbers -5 and 0, and remains with the numbers in between them :
$ - 4, - 3, - 2, - 1$
The integers between -5 and 0 are $ - 4, - 3, - 2, - 1$.
Note: All the whole numbers are integers but all the integers are not whole numbers, which is not vice-versa, because the whole numbers set consists of only numbers which are positive integers including zero, but whereas the integers set consists of both positive and negative integers including zero.
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