The inequality is .

Apply addition property of inequality: If a > b then a + c > b + c.

         (Add x to each side)

                 (Apply additive inverse property: )

                       (Apply additive identity property: )

                       (Apply commutative property of addition: )

                              (Add: )

Apply addition property of inequality: Add 2 to each side.

                      (Apply additive inverse property: )

                              (Apply additive identity property: )

                                   (Add: )

                               (Divide each side by 4)

                                    (Cancel common terms)

                                         (Divide: )

Graph the solution set on a number line.

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

Check:

To check, substitute a number greater than 3 in

                      (Substitute )

                        (Multiply: )

                                       (Subtract: )

The inequality is true.

The inequality solution set is .