Find the Power Set domain {(14,3),(-2,-1),(0,0),(1,4)}

Problem

Power Set*(domain({(14,3),(−2,−1),(0,0),(1,4)}))

Solution

1. Identify the domain of the given set of ordered pairs by listing all the first elements (x-coordinates).

domain={14,−2,0,1}

2. Determine the cardinality of the domain set to understand how many elements will be in the power set.

n=4

3. Calculate the number of elements in the power set using the formula 2

2=16

4. List all subsets of the domain set {14,−2,0,1} starting from the empty set and moving through subsets of increasing size.

∅

{14},{−2},{0},{1}

{14,−2},{14,0},{14,1},{−2,0},{−2,1},{0,1}

{14,−2,0},{14,−2,1},{14,0,1},{−2,0,1}

{14,−2,0,1}

Final Answer

Power Set*({14,−2,0,1})={∅,{14},{−2},{0},{1},{14,−2},{14,0},{14,1},{−2,0},{−2,1},{0,1},{14,−2,0},{14,−2,1},{14,0,1},{−2,0,1},{14,−2,0,1}}

Want more problems? Check here!