Question

Ind the power sets of the following sets. a. {a,b} b. {4,7} c. {w,x,y,z)

Answer 1

The power set of a set includes all possible subsets of that set. Examples were provided for the sets {a, b}, {4, 7}, and {w, x, y, z}, demonstrating how to construct their power sets according to the size of the original set.

Step-by-step explanation:

Finding Power Sets

The power set of a given set includes all possible subsets of that set, including the empty set and the set itself. Here's how you can find the power sets for the given sets:

1. For set {a, b}, the power set is {{}, {a}, {b}, {a, b}}.
2. The power set of {4, 7} is {{}, {4}, {7}, {4, 7}}.
3. For set {w, x, y, z}, the power set is quite large. It will have 24 = 16 subsets, starting from the empty set, single-element subsets, two-element subsets, three-element subsets, and finally the set itself as a subset.

Remember that the power set of a set with n elements contains 2n elements, as each element can either be included or excluded in a subset.