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Which of the following sets have closure property with respect to addition and multiplication? 1. 1 2. 2,-1 3.1,-1?

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Option 1) 1

As only 1 element so it definitely holds closure property.

Option 2)  2,-1

2	imes-1=-2;;;;;2+(-1)=1

Both multiplication and addition are not contained in the given set so this set does not hold closure property.

Option 3) 1,-1

1	imes-1=-1;;;;;1+(-1)=0

The addition is not contained in the given set so this set does not hold closure property.

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Deependra Verma

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