The inequality is .

Step 1:

The exclude value for this inequality is .

Step 2:

Solve the related equation.

                                 (Original equation)

The LCD for the term is .

       (Multiply by LCD)

                           (Divide common factors)

                                        (Multiply)

                                            (Combine like terms)

                                       (Divide each side by )

                                             (Cancel common terms)

Step 3:

Draw vertical line at the excluded value and at the solutions to separate the number line into intervals.

Graph:

Graph the number line.

Step 4: Test values are in each interval to determine the values of interval satisfy the inequality.

Case (i): Test .

                                (Original inequality)

                    (Substitute )

                                 (Simplify)

                                    (LCD is )

                                       (Add the numerator)

                                     (Simplify)

Case (ii): Test .

                                (Original inequality)

                    (Substitute )

                                 (Simplify)

                                 (LCD is )

                                       (Add the numerator)

                                         (Simplify)

Case (iii): Test .

                                 (Original inequality)

                           (Substitute )

                                  (Simplify)

                                       (LCD is )

                                           (Add the numerator)

                                         (Simplify) 

The statement is true for and .

Therefore the solution is or .

The solution is  .