24. Write the inequality:
    The sum of and 82 is strictly
    greater than 300 .

To express the situation mathematically, we can write the inequality as:
.

To isolate , subtract 82 from both sides:
.

Now, divide both sides by 4:
.

And there you have it—an inequality showing how relates to the condition!

This type of inequality is not just limited to mathematical exercises; it can be incredibly useful in real-world situations, such as budgeting or resource allocation. For instance, if you’re managing a project budget, this inequality could represent the financial threshold you need to keep costs below to stay within your budgetary limits while factoring in certain variable expenses denoted by .

One common mistake when solving inequalities is treating them like equations. Remember, whatever you do to one side of the inequality, you must do to the other! Also, if you multiply or divide both sides by a negative number, don’t forget to flip the inequality sign. This can easily trip up even the most diligent math enthusiasts!