Inequalities are really important in solving everyday problems. They help us understand relationships and limits in different situations. Here are a few reasons why inequalities matter:

1. Understanding Limits: Many things in life have limits. For example, when you create a budget, you might say, "I can't spend more than £200." This is an inequality that says $x \leq 200$, where $x$ is the amount of money you spend. Using inequalities helps us see and explain these limits in a math way.

2. Making Decisions: Inequalities help us make choices based on different factors. If you want to figure out how many hours you can work each week while still having time to relax, you might use an inequality like $x \geq 10$. Here, $x$ means the hours you work. This helps you keep a good balance between work and fun.

3. Looking at Trends: In fields like economics or science, inequalities help us compare different data sets. For instance, if you find out that one product's sales need to be higher than another's to make money, you can write that as an inequality. This helps you spot trends and make smart decisions.

4. Solving Problems: Inequalities are also useful for problem-solving. When you need to allocate resources or find the best solution to a problem, inequalities help you create possible solutions while staying within limits.

In summary, inequalities are not just complicated math ideas; they are handy tools that help us understand the world. They guide us in working within limits so we can make better choices.