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The problem asks about setting up a system of linear inequalities based on the following situation:

Bu Risa weighs used books on a two-pan scale:
1. On the first weighing, there are 5 novels and 4 textbooks, and the total weight is less than 20 kg.
2. On the second weighing, there are 7 novels and 2 textbooks, and the total weight is more than 14 kg.

Let:
- \( x \) be the weight of a novel (in kg),
- \( y \) be the weight of a textbook (in kg).

From the first condition:
\[ 5x + 4y < 20 \]

From the second condition:
\[ 7x + 2y > 14 \]

This system of linear inequalities describes the relationship between the weights of the novels and textbooks.

Would you like further details on solving this system or graphing the inequalities?

Here are some related questions:
1. How can we find a solution region for these inequalities graphically?
2. What are some potential values for \( x \) and \( y \) that satisfy both inequalities?
3. How would the problem change if the weights were given with exact equality instead of inequalities?
4. How do we interpret the solution in the context of the problem?
5. Could there be a situation where no solutions exist?

**Tip:** When dealing with inequalities, always check boundary conditions to better understand the solution region.

Bu Risa menimbang buku bekas dengan menggunakan timbangan dua lengan. Pada timbangan pertama terdapat 5 buku novel dan 4 buku pelajaran beratnya kurang dari 20 kg. Pada timbangan kedua terdapat 7 buku novel dan 2 buku pelajaran beratnya lebih dari 14 kg. Bagaimana memecahkan masalah ke dalam sistem pertidaksamaan linier dua variabel?

Learn how to solve a system of linear inequalities based on the weight of novels and textbooks on a two-pan scale. This problem involves key algebraic concepts like linear inequalities and is suitable for students in Grades 9-10.

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