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Question

Subtraction of integers is an operation that is


A

Commutative and associative

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B

Not commutative but associative

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C

Neither commutative nor associative

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D

Commutative but not associative

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Solution

The correct option is C

Neither commutative nor associative


Explanation for the correct option :

Step-1 : Checking the commutativity

Let us consider two integers : 4 and 7.

Now,

4-7=-3 and 7-4=3 i.e. 4-77-4.

So, the subtraction of integers is not commutative.

Step-2 : checking the associativity

Consider the integers 4, 3 and 1. Then

(4-3)-1=0 and 4-(3-1)=2.

So, (4-3)-14-(3-1)

Thus, the subtraction of integers is not associative.

Hence option (C) is the correct answer.


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