The document discusses the basic operations of algebra of sets: union, intersection, difference, complement set, disjoint sets, and power set. It provides examples to illustrate each operation, such as the union of sets A and B containing all elements that belong to A, B, or both; the intersection of sets A and B containing only the element s that is common to both sets; and the power set of a set U being the set of all subsets of U.

1. ALGEBRA OF SETS
Jose Mendoza
9-II
Algebra II
Mr. Eladio

2. Basic operations
 Union
 Intersection
 Difference
 Complement Set
 Disjoint Sets
 Power Set

3. Union
Are all the sing inside the sets you are
uniting.
For example;
The union of sets A and B is the set of
all elements which belong to A, to B or
to both.

4. Intersection
 Are the sing which are in common with
other set or sets.
For example;
A={a, s, d} b={s, f, I }
Intersection={s}

5. Difference
 Is when in a set you have and element
but this element you don’t have it in
the other set.
 For example;
 The difference of sets A and B is the
set of elements which belong to A, but
do not belong to B.

6. Complement Set
 All the elements of the universal set.

7. Disjoint Sets
 When sets have no elements in
common.

8. Power Set
 Let U be any non empty set and
let P(U) denote the set of all subsets
of U. Set P(U) is called the power set
of the set U . Elements of the
set P(U) are subsets of the set U.