The inequality is .

Write the mixed numbers into improper fraction.

The improper fraction of  

The improper fraction of

Apply addition property of inequality: Add to each side.

             (Apply additive inverse property: )

                   (Apply additive identity property: )

Find the least common denominator (LCD).

Multiples of 2:2,4,6,8,10,12....

Multiples of 3:3,6,9,12,15....

The least common multiple of 2 and 3 is 6.

Rewrite each fraction with a common denominator of 6

and

Graph the solution set on a number line.

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

Check:

To check, substitute  a number  greater than in .

              (Substitute  )

Find the least common denominator (LCD).

Multiples of 10: 10, 20, 30, 40, 50....

Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33....

The least common multiple of 10 and 3 is 30.

Rewrite each fraction with a common denominator of 30.

The inequality is true.

The inequality solution is .