The inequality showing that the total number of eggs laid by the first hen was greater than the total number of eggs laid by the second hen can be represented as:
7 * › > 8 * y
In this inequality, "7 * ›" represents the total number of eggs laid by the first hen, and "8 * y" represents the total number of eggs laid by the second hen. The inequality states that the product of 7 and the number of weeks for which the first hen laid eggs is greater than the product of 8 and the number of weeks for which the second hen laid eggs.