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Q.

If a and b are two whole numbers then commutative law is applicable to subtraction if and only if.


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a

a = b

b

aQuestion Image b

c

a > b

d

a < b 

answer is A.

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Detailed Solution

Concept- To solve thisQuestion, you can look at all four points separately to see which one is wrong, or you can directly apply the commutative law  of subtraction to get your answer.
Commutative Law: Integer subtraction  is not commutative. H. In general, if a and b are two integers, a–b is not equal to (b–a).  We know that 9–5=4, but 5–9=-4 is not an integer. So for two integers a and b, if a>b then a–b is an integer but b–a is not possible, and if b>a then b–a is an integer but a–b is not possible.
Now if a=b=3 then a-b=3-3=0 which is also an integer.
So, integers are subtractively commutative  if and only if a=b.
Hence, option 1 is correct.
 
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