Let n is the unknown number.

The word three more than a number n represents .

The word is less than represents .

The word twice the number n represents .

The word Three more than a number n less than twice the number nrepresents .

The inequality is .

Apply subtraction property of inequality: If .

Subtract n from each side.

Apply commutative property of addition: If .

The solution set is .

Check:

To check, substitute three different values for n into the original inequality: 3, a number less than 3, and greater than 3.

Let three values are .

If then     (This is false)

If then      (This is false)

If then      (This is true)

The inequality is and the solution set is .