The inequality is .

Apply subtraction property of inequality: Subtract 2 from each side.

     (Apply additive inverse property: )

            (Apply additive identity property: )

                  (Subtract: )

Apply subtraction property of inequality: Subtract y from each side.

      (Apply commutative property of addition: a + b = b + a)

            (Apply additive inverse property: )

                 (Apply additive identity property: )

                        (Subtract: ) \ \

Apply division property of inequality: 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 include in the solution set.

Check:

To check, substitute a number less than or equal to 8 in .

       (Substitute y = 8)

           (Multiply: )

                        (Add: 40 + 2 = 42 and 8 + 34 = 42)

The inequality is true.

The inequality solution set is .