Question

Find 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 is the set of all subsets of that set. To find the power set, we can use the formula 2^n, where n is the number of elements in the original set.

Step-by-step explanation:

The power set of a set is the set of all subsets of that set. To find the power set, we can use the formula 2^n, where n is the number of elements in the original set.

a. For the set {a, b}, the power set will be {{}, {a}, {b}, {a, b}}.

b. For the set {4, 7}, the power set will be {{}, {4}, {7}, {4, 7}}.

c. For the set {w, x, y, z}, the power set will be {{}, {w}, {x}, {y}, {z}, {w, x}, {w, y}, {w, z}, {x, y}, {x, z}, {y, z}, {w, x, y}, {w, x, z}, {w, y, z}, {x, y, z}, {w, x, y, z}}.