Union and Intersection The
of sets can be confusing especially when you have to understand the words “and”
and “or” which are associated with these concepts. Think of two roads that intersect in your
hometown. Now, think of a business at the union
of these roads.intersectionIn Shelbyville there are two roads named
Main and Madison. If you were at the
intersection then you would see KFC. KFC is
at the intersection of Main of
sets is the set of elements or numbers common to both sets.
The intersection of sets is like a “marriage” of elements
and numbers in the sets. When a husband and
wife marry (often referred to as a union), they bring all of their
belongings under one household. Belongings
which either he union she owned are now in their or
(marriage.) Every element that is in either
set is in the union of sets.unionThe symbol for Union is the second set while the “or” of sets is the set of elements that are in
the first set intersectionthe second
set.“and” (7) Given that A={2,4,6,8,10} and B={1,2,3,4,5}
A The last concept in this chapter is that of
absolute value equations and inequalities. You
must remember that the value of the “inside” of the absolute value symbol may be
positive or negative, but once the absolute value is evaluated the result is always
positive. In other words, (8) Solve
the equation: Absolute value inequalities are solved in a similar fashion. You must understand that the “less than” and “less than or equal to” inequalities are compound statements (the three part inequalities that were solved in the first section). (9) Solve
the inequality: Solving this compound inequality would
provide the result that (graph) [ ] -1 4 (interval notation)
The “greater than” and
“greater than or equal to” inequalities are disjoint statements. This means that you must “dis”join them
or take them apart to solve. The answer to
the inequality will be greater than the positive value of the number (10)
Solve the inequality: Solving these inequalities would provide
the result (graph) ) ( -1 4 (interval notation) The views and
opinions expressed in this page are strictly those of Mary Lou Baker. This page was edited on 13-Sep-2011 |