For each of 5-21 prove each statement that I true and find a counterexample for each statement that is false. Assume all sets are subsets of a universal set U.
For all sets A and B, .
For each prove each statement that is true and find a counterexample for each statement that is false. Assume all sets are subsets of a universal set .
For all sets .
Consider the following statement,
The objective is to verify whether the statement is true or not.
Recall, the definition for a power set.
A Power Set is a set of all the subsets of a set.
Let are two sets, then the Power Sets of are defined by,
The sets in contains only sets that are subsets of either , and contains the elements of both the sets .
Let are two subsets of a universal set then
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