The inequality .

Write the mixed numbers into improper fraction.

The improper fraction of       

Apply multplication property of inequality: Multiply  each side by 4.

                               (Cancel common terms)

                          (Distributive property: )     

                                (Multiply: )     

                    (Subtract 12 from each side)

                            (Additive inverse property: )

                                  (Additive identity property: )

                                              (Subtract: )

                          (Divide each side by 4)                     

                                     (Cancel common terms)

                                    (Divide:)

Graph the solution set on a number line.

Note: A dot means that this point is included in the solution set.

Check:

 To check, substitute a number less than or equal to - 4.25 in .

                          (Substitute )

                       (Add: )

                          (Divide:)

The inequality solution is .