## Related questions with answers

Question

If A is any subset of a universal set U, complete the following.

a. $A \cup \phi=$ ?

b. $A \cap \phi=$ ?

c. $A \cup \bar{A}=$ ?

d. $A \cap \bar{A}=$ ?

e. $A \cup U=$ ?

f. $A \cap U=$ ?

Solution

VerifiedAnswered 2 years ago

Answered 2 years ago

Step 1

1 of 8Let's remember that complement $A$ or $\overline{A}$, is a set of all elements not in set $A$. Union of two sets $A$ and $B$, $A\cup B$, represents all the elements found in both sets.

The intersection of sets $A$ and $B$, $A\cap B$, is the set of all the elements common to the sets $A$ and $B$.

The set $A$ is the subset of the set $B$ if all elements of the set $A$ are contained in the set $B$. The empty set is the set that has no elements and it is a subset of every set. We denote it with $\emptyset$.

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