1. Multiply the number of math books (\(x\)) by their weight (3.2 pounds).
2. Multiply the number of workbooks (\(y\)) by their weight (0.8 pounds).
3. Add these two quantities.
4. Set the sum less than or equal to the weight limit (50 pounds).

Supplemental Knowledge

Linear inequalities can be used to represent constraints or conditions in various real-life settings. Here, for instance, they represent a restriction on how many books can be shipped at one time in one box.

Knowledge in Action

• Consider you are packing for a trip and have a weight limit for your luggage. You need to decide how many clothes and gadgets to pack without exceeding the airline's weight limit.
  For example:

If each piece of clothing weighs 0.5 pounds and each gadget weighs 2 pounds, you can set up an inequality to ensure your luggage stays within the allowed limit.
This practical application helps you understand how linear inequalities can be used to make decisions within constraints, ensuring efficiency and compliance with rules.

Understanding how to set up and solve linear inequalities is essential for making informed decisions in everyday life, from packing luggage to managing budgets effectively. At UpStudy, we provide specialized tools and resources designed to help you master these mathematical concepts with ease.
For detailed guidance on solving algebraic inequalities,explore UpStudy’s Algebra Inequalities Calculator today!