Answer
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Work Step by Step
Inequalities are used to describe situations where one quantity is greater than or less than another. They're perfect for expressing real-life scenarios where there's a range of possible values rather than just a single value.
Let's say you're planning a road trip and you want to ensure you have enough fuel to reach your destination. You know your car's fuel tank can hold up to $60$ liters of fuel, and your destination is $300$ kilometers away. You also know your car consumes fuel at a rate of $15$ kilometers per liter.
To express this situation as an inequality, let's note by $x$ the amount of fuel (in liters) you need to cover the distance. In order to have enough fuel for the distance, you must have: $$\text{Fuel Efficiency}\times x\geq
\text{Distance}.$$ In our case we can write $$15x\geq 300$$ which leads to $$x\geq 20,$$ so you need at least $20$ liters in order to reach your destination. So, you can use this inequality to plan ahead and ensure you have sufficient fuel for your journey.
