No Slide Title
Intersection of IntervalsThis presentation will focus on
compound inequalities using the word and. A compound inequality is
formed when two inequalities are joined using either the word and
or the word or.
An example of such a compound inequality is
When working with a compound inequality, think intersection.The
intersection of two sets is the set of elements that are common to
both sets. The symbol is used to represent intersection.
Consider how two streets come together to demonstrate this
concept.The intersection of the two streets is the portion of
pavement that is common to both.Harmony StreetShields Street
Example 1Find the intersection of the two inequalities:
andWe want to find the values of x that are common to both
inequalities.A graph will assist in accomplishing this.
Graph the points on the line that are common to both graphs.The
solution is
The interval notation answer is
Example 2Find the intersection of the two inequalities:
andWe want to find the values of x that are common to both
inequalities.A graph will assist in accomplishing this.
Graph the points on the line that are common to both graphs.The
solution is
The interval notation answer is
END OF PRESENTATION