Inequalities are an important part of algebra that we can use in our daily lives. Knowing how to work with them can help us make better decisions. Here are some easy examples of how inequalities can be useful:

Budgeting

1. Money Management: Let's say you earn £3000 a month. If you want to save at least £500, you can figure out your spending like this:
   Expenses ≤ £3000 - £500
   So, your monthly spending should be no more than £2500.

Health and Nutrition

2. Calories Needed: Imagine a teenager needs at least 2000 calories each day to grow strong. We can say:
   Caloric intake ≥ 2000
   This means they should eat at least 2000 calories daily.

Academic Performance

3. Getting Good Grades: To pass a class, a student needs to score at least 40%. If we look at their average score from five tests, we can write it like this:
   (Test 1 + Test 2 + Test 3 + Test 4 + Test 5) / 5 ≥ 40
   This helps make sure they keep their grades up.

Comparing Prices

4. Discounts on Items: If something costs £80 but is being sold with a discount of at least 25%, we can find the sale price like this:
   Sale Price ≤ £80 - (25% of £80)
   This shows us how much the item will cost when it's on sale.

In short, using inequalities can help us make smart choices about money, stay healthy, do well in school, and shop wisely.