Let n is an unknown number.

The word eight less than a number n represents.

The word is no more than represents.

The word is no less than represents.

The word Eight less than a number n is no more than 14 represents.

The word Eight less than a number n is no less than 5 represents.

The word Eight less than a number n is no more than 14 and no less than 5 represents.

The inequality is .

The inequality divide into two inequalities by using and.

.

Solve the inequality 1: .

Add 8 to each side.

.

Solve the inequality 2: .

Add 8 to each side.

.

The solution set is .

The value of n is between 13 and 22 and including 13 and 22.

Check: To check, substitute three different values for n into the original inequality: any number within 13 and 22, a number less than 13, and greater than 22.

Let three values are .

If then (This is false)

If then (This is true)

If then (This is false).

The solution set is .