Let n is an unknown number.

The word negative three times a number n plus 4 represents .

The word is less than represents .

The word five times the number n plus 8 represents .

The word Negative three times a number n plus 4 is less than five times the number n plus 8 represents .

The inequality is .

Apply addition property of inequality: If .

Add 5n to each side.

Apply subtraction property of inequality: If .

Subtract 8 from each side.

Apply division property of inequality: If .

Divide each side by 8.

The solution set is .

Check:

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

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 .