1.

Show dhat ane and onlu one uandis

Answer»

x is an integer. So,it is of the form 3k,3k+1 or 3k+2 where k is an integer.

If x=3k,then

x+1=3k+1,not divisible by 3

x+2=3k+2,not divisible by 3

If x=3k+1(not divisible by 3),then

x+1=3k+2,not divisible by 3

x+2=3k+3=3(k+1), divisible by 3

If x=3k+2(not divisible by 3),then

x+1=3k+3=3(k+1),divisible by 3

x+2=3k+4=3(k+1)+1,not divisible by 3

Hence by seeing all the above cases,we can safely say that:out of x,x+1 and x+2,only one is divisible by 3.

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