To solve this we have to set up our inequality expressions with the given information: 5 * (x + 27) >= 6 * (x + 26). Now that we know the expression we can solve for x to determine the solution set. We have to rearrange and simplify the equation as follows: 5x + 135 >= 6x + 156. Now we get the x terms on one side and the integers on the other so we can solve for x: -21 >= x . The solution set would be that the number is less than or equal to -21.