Use complete sentences to describe why set a = { x | x is an even whole number between 0 and 2} = ∅

Basically Set A has all the even whole numbers between 0 and 2
and Set A is empty

that is because
any even number can be represented as 2n where n is an integer

find 2n where n is an integer and it is between 0 and 2
0<2n<2
divide both sides by 2
0<n<1
so n must be between 0 and 1
but that makes it not an integer, integers are like -3,-2,-1,0,1,2,3, they can't be fractions or decimals

it is because there are no even whole numbers between 0 and 2

Definitely