Let n is an unknown number.

The word the sum of twice a number n and 5 represents .

The word is at most represents .

The word 3 less than the number n represents .

The word The sum of twice a number n and 5 is at most 3 less than the number n. represents .

The inequality is .

Apply subtraction property of inequality: If .

Subtract n from each side.

Apply commutative property of addition: If .

Subtract 5 from each side.

The solution set is .

Check:

To check, substitute three different values for n into the original inequality: negative 8, a number less than negative 8, and greater than negative 8.

Let three values are .

If then (This is true)

If then (This is true)

If then    (This is false)

The inequality is and the solution set is .