Question

Let A={2,6,7,8} and B={4,5,6,8} Find the following: P(B−A) where P is the power set

Answer 1

To find P(B - A), subtract the elements in A from the elements in B and find the power set of the resulting set.

Step-by-step explanation:

To find P(B - A), we need to find the set of elements that are in B but not in A. In other words, we need to subtract the elements in A from the elements in B.

The set B - A can be represented as {4, 5}, as these elements are in B but not in A.

The power set P(B - A) is the set of all possible subsets of B - A.

Therefore, P(B - A) = {{}, {4}, {5}, {4, 5}}, where {} represents the empty set.

Answer 2

The power set P(B − A) is equal to 4, that is P(B−A) = {∅,{4},{5},{4,5}}.

To find the power set P(B − A), we first determine the elements of B - A.

The set B − A,which is the set of elements in B but not in A. In this case,

B − A = {4,5,6,8} - {2,6,7,8}

B − A = {4,5}.

The power set of a set is the set of all its subsets, including the empty set and the set itself. So, the power set of B − A is {∅,{4},{5},{4,5}}.

P(B − A) = 4

In conclusion, the power set P(B − A) have the four (4) elements {∅,{4},{5},{4,5}}, encompassing all possible subsets of the set resulting from the elements in B but not in A.