Let n is an unknown number.

The word the sum of twice a number n and three represents .

The word 4 times the sum of twice a number n and three represents .

The word is no more than represents .

The word Ten is no more than 4 times the sum of twice a number n and three represents .

The inequality is .

Apply distributive property: .

Apply subtraction property of inequality: If .

Subtract 12 from each side.

Apply division property of inequality: If .

Divide each side by 8.

Cancel common terms.

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 true)

If then (This is true).

The inequality is and the solution set is .