Wetzel

Math 101

2.5 – Linear Inequalities

Inequality Symbols:           <     less than                               less than or equal to

                                        >     greater than                          greater than or equal to

Graphing on a number line:    1.)  Number line with significant numbers

                                                2.)  Open or Closed circle

                                                3.)  Arrow to the left or right

Interval Notation:          1.)  Beginning Value, Ending Value

                                      2.)   and -

                                      3.)  ( ) or [ ]

Linear Inequality:  (One Variable)

                        To Solve:

                                    1.)  Solve as if it were an equation with one additional rule,

                                    **2.) If you mult. or divide by a negative, “flip” the inequality sign

            Compound Inequalities ( “And” Inequalites)

                        *Solve for the variable in the middle

            “Or” Inequalities

                        *Solve both inequalites.  Solutions will be in one or the other.

            Examples:  Solve in Interval Notation and Graph.

            1.)                                                                  2.) 

            3.)    or