With the help of a suitable example show that the subtraction is non -commutation and non-associated for integers
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Step-by-step explanation:
Given that:Properties of the group are not followed in subtraction of rational number explain by giving example.
Solution:
Following are the properties which are not followed by subtraction of rational numbers
1) Commutative property:
It states that
But this is not followed by subtraction
Example: Let
Thus Commutative property is not followed by subtraction of two rational number.
2) Associative property:
Associative property is also not followed by subtraction of rational numbers.
But it is not true for subtraction
Example:
Let
Thus,one can say that subtraction is non-commutative and non-associative.
By this way one can say that Associative property and Commutative are not followed by subtraction of rational numbers.
Hope it helps you.
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