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The image shows a set of inequalities under the title "Inecuaciones" (Inequalities in Spanish). The system of inequalities is written as:

1. \( x + 2y \geq 5 \)
2. \( x - 6y \leq -1 \)

Would you like me to solve this system of inequalities or provide a more detailed explanation of each step involved? Let me know how you'd like to proceed!

Here are five follow-up questions for your reference:

1. How would you graphically represent the solution set for this system of inequalities?
2. Can these inequalities be solved for one variable in terms of the other?
3. What does the solution set of each inequality look like on a coordinate plane?
4. How would the inequalities change if we introduced additional constraints, such as \( x \geq 0 \) and \( y \geq 0 \)?
5. How do inequalities differ from equalities in terms of their solutions?

**Tip**: When solving systems of inequalities, visualizing them on a graph can greatly help in understanding their solution set.

Explore how to solve the system of inequalities x + 2y ≥ 5 and x - 6y ≤ -1 with a step-by-step guide. Learn key algebraic concepts, understand graphical representations, and identify solution sets suitable for students in Grades 8-10.

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