Let n is the positive odd integer.

Let four consecutive numbers positive odd integers are .

The word is less than represents .

The word Four consecutive positive odd integers whose sum is less than 42 represents .

The inequality is .

Group like terms.

Combine like terms.

Apply subtraction property of inequality: If then .

Subtract 12 from each side.

Apply division property of inequality: If then .

Divide each side by 4.

Cancel common terms.

There fore n values set is .

If then remaining consecutive positive odd integers are and the inequality solution set is .

If then remaining consecutive positive odd integers are and the inequality solution set is .

If then remaining consecutive positive odd integers are and the inequality solution set is .

If then remaining consecutive positive odd integers are and the inequality solution set is .

The inequality solution sets are .