Question

Let a be defined to be the set 1,2,3,4,5,6,7,8 and let b=1.f:p(a)→p(a). For x⊆a, f(x)=x-b. Recall that for a finite set a,p(a), denotes the power set of a which is the set of all subsets of a. What is the value of f(1,2,3)?

1) ∅
2) {1,2,3}
3) {4,5,6,7,8}
4) {1,2,3,4,5,6,7,8}

Answer 1

The value of f(1,2,3) is {2,3}.

Step-by-step explanation:

To find the value of f(1,2,3), we need to apply the function f to the set {1,2,3}. According to the given definition, f(x) = x-b, where b is the set 1. To apply this function, we subtract the set 1 from the given set.

So, f(1,2,3) = {1,2,3} - {1} = {2,3}.

Therefore, the correct answer is option 2) {2,3}.