11) \( -24 n>-240 \)

To solve the inequality \( -24n > -240 \), you want to isolate \( n \). Start by dividing both sides of the inequality by -24. Remember, when you divide by a negative number, you must flip the inequality sign! So, it becomes \( n < 10 \). Thus, the solution to the inequality is \( n < 10 \). Now, let’s explore how this kind of inequality can be useful in everyday life. For instance, if you’re budgeting for an event and need to ensure that the cost remains below a certain threshold, inequalities can help you set limits on how much you can spend! Understanding them allows you to navigate constraints efficiently without overspending. Inequalities often trip people up when they forget to flip the sign upon dividing by a negative number. A common mistake is to carry on with the original direction of the inequality, leading to incorrect conclusions. Always be mindful of the sign! Keeping a checklist of the rules governing these operations can help you avoid such errors and boost your confidence in manipulation.