Twice the difference of a number and 5 is less than or equal to 25 .

Let's break it down! You can set up the inequality as follows: 2(x - 5) ≤ 25. If you distribute the 2, it becomes 2x - 10 ≤ 25. Adding 10 to both sides, you get 2x ≤ 35. Dividing by 2, the solution for x is x ≤ 17.5. So, any number less than or equal to 17.5 satisfies the inequality. This kind of inequality can pop up in real-world scenarios, such as budgeting or resource allocation. For instance, if you set a limit on spending, using inequalities like this helps ensure you stay within your financial means while allowing some flexibility to adjust expenses based on varying needs.