\"\" \ \

\

The inequality is \"\". \ \

\

Solve the inequality. \ \

\

\"\"                         (Original inequality) \ \

\

\"\"        (Add \"\" to each side) \ \

\

\"\"                        (Apply additive inverse property: \"\") \ \

\

\"\"                                (Add: \"\") \ \

\

\"\"                           (Divide each side by \"\") \ \

\

\"\"                                    (Cancel common terms) \ \

\

\"\"                                          (Multiply each side by negative one and flip the symbol) \ \

\

The graph of the solution set on a number line diagram.\"Graph \ \

\

A circle means that this point is not included in the solution set.

\

\"\"

\

Check solution for \"\"-value \ \

\

Case(i): \"\" \ \

\

\"\"                       (Original inequality) \ \

\

\"\"                    (Substitute \"\") \ \

\

\"\"                      (Multiply) \ \

\

\"\"                              (Add: \"\") \ \

\

Therefore, \"\" is true inequality. \ \

\

Case(ii): \"\" \ \

\

\"\"                      (Original inequality) \ \

\

\"\"                   (Substitute \"\") \ \

\

\"\"                     (Multiply) \ \

\

\"\"                             (Add: \"\") \ \

\

Therefore, \"\" is false inequality. \ \

\

\"\" \ \

\

The solution set of the inequality is \"\".