https://file.aiquickdraw.com/mathbot/file/1730735966971fcaif7b4.jpg

Let's address each part of the question separately.

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### Question 1: Inequality Representation for T-shirts and Jeans Sale

The store wants to sell more than $800 worth of t-shirts and jeans combined. Let's analyze the options given:

- Let:
  - $ t $ represent the number of t-shirts sold, each costing $4.
  - $ j $ represent the number of jeans sold, each costing $15.

The total revenue from t-shirts and jeans would be $ 4t + 15j $.

Since the store wants to sell **more than** $800, we need an inequality that represents this condition:

\[
4t + 15j > 800
\]

Among the answer choices, the correct inequality is:

- **Option C: $ 4t + 15j > 800 $**

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### Question 2: Solution to the System of Equations

The second question provides a graph with two lines, and we're asked to find the solution to the system of equations represented by these lines. The solution to a system of equations graphically is the **point where the two lines intersect**.

Upon examining the graph:
- The two lines intersect at the point **(2, 3)**.

Thus, the solution to the system of equations is:

\[
(2, 3)
\]

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### Summary of Answers

1. **Inequality**: $ 4t + 15j > 800 $ (Option C)
2. **Solution to the system of equations**: $ (2, 3) $

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Would you like more details on any part of these solutions, or do you have additional questions?

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### Related Questions for Further Practice

1. How do you set up inequalities for real-life scenarios involving costs and budgets?
2. What methods can you use to solve systems of linear equations aside from graphing?
3. How can you determine whether a system of equations has no solution, one solution, or infinitely many solutions?
4. How do you interpret inequalities on a number line or in a coordinate plane?
5. What is the substitution method in solving systems of equations, and how does it work?

### Quick Tip

When solving word problems, carefully identify each variable and translate words like "more than," "less than," or "equal to" into their corresponding mathematical symbols. This helps ensure accuracy in setting up equations or inequalities.

A store has a sale on t-shirts and jeans, in which t-shirts cost $4 and jeans cost $15. If the store wants to sell more than $800 worth of t-shirts (t) and jeans (j) during the sale, which of the following inequalities represents that situation?

What is the solution to the system of equations?

Understand how to solve a real-life algebra problem involving inequalities and systems of equations for a store sale. Learn to set up inequalities based on item costs and find the intersection point for a system of linear equations from a graph. Suitable for students in Grades 7-10.

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