MHB Possible mistake in question? (system of linear inequalities)

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The discussion centers on confusion regarding a graph related to a system of linear inequalities, specifically questioning the origin of the line represented by the inequality 5x + 8y < 5. Participants suggest that the provided inequality does not correspond to the graph in question, indicating a potential error. One participant proposes that the correct inequality should be 5x + 8y ≤ 40 to align with the diagram. This raises concerns about possible mistakes made by the teacher in the assignment. Clarification on the correct inequality is necessary for accurate interpretation of the graph.
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Hello, so there's a graph provided in the task which I'm trying to solve for a quite a while and I am really confused where the 5 to 8 line came from, because (5x+8y<5) doesn't create that sort of line. Is it possible that there's a misstake done by my teacher or am I understanding something wrong?
 
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swag312 said:
Hello, so there's a graph provided in the task which I'm trying to solve for a quite a while and I am really confused where the 5 to 8 line came from, because (5x+8y<5) doesn't create that sort of line. Is it possible that there's a misstake done by my teacher or am I understanding something wrong?
It certainly looks like a mistake. If the diagram is meant to illustrate the inequalities then the third inequality should be $5x+8y\le40$.
 

Thread 'Area of Overlapping Squares'

Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?
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