Five times the sum of a number and 27 is greater than or equal to six times the sum of that number and 26. what is the solution set of this problem?

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.