The income elasticity of demand measures how responsive the quantity demanded of a good is to changes in income. In the case of inferior goods, when a consumer`s income increases, the demand for these goods decreases. Therefore, the income elasticity of demand for inferior goods is negative.

Option 1: Less than one - This is not the correct answer. A value of less than one would indicate that the demand for an inferior good increases, albeit at a slower rate, as income increases. This is not the case for inferior goods.

Option 2: Less than zero - This is the correct answer. The negative sign indicates the inverse relationship between income and demand for inferior goods.

Option 3: Equal to one - This is not the correct answer. An elasticity of one suggests a unitary response, where the demand for an inferior good changes proportionally to changes in income. However, for inferior goods, the demand decreases as income increases.

Option 4: Greater than one - This is not the correct answer. A value greater than one would indicate a positive relationship between income and demand for an inferior good. As mentioned earlier, an increase in income leads to a decrease in demand for inferior goods.

Therefore, the correct answer is option 2, as the income elasticity of demand for