Let n is an unknown number.

The word six times a number n decreased by 8 represents .

The word is less than represents .

The word five times the number n plus 21 represents .

The word Six times a number n decreased by 8 is less than five times the number n plus 21. represents .

The inequality is .

Apply subtraction property of inequality: If .

Subtract 5n from each side.

Apply commutative property of addition: If .

Apply addition property of inequality: If .

Add 8 to each side.

The solution set is .

Check:

To check, substitute three different values for n into the original inequality: 29, a number less than 29, and greater than 29.

Let three values are .

If then (This is true)

If then (This is false)

If then (This is false).

The inequality is and the solution set is .