Let n is an unknown number.

The word seven tenths of a number n plus 14 represents .

The word is less than represents .

The word Seven tenths of a number n plus 14 is less than forty - nine represents .

The inequality is .

Apply subtraction property of inequality: If .

Subtract 14 from each side.

Apply multiplication property of inequality: If .

Multiply each side by .

Cancel common terms.

The solution set is .

Check:

To check, substitute three different values for n into the original inequality: 50, a number less than 50, and greater than 50.

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 .