Possible mistake in question? (system of linear inequalities)

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SUMMARY

The discussion centers around a potential error in a graph depicting a system of linear inequalities. The participant questions the validity of the inequality (5x + 8y < 5) in relation to the graph, suggesting that it does not correspond to the expected line. Another contributor confirms this by stating that the correct inequality should be (5x + 8y ≤ 40) to accurately represent the graph's intended illustration.

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  • Understanding of linear inequalities
  • Familiarity with graphing techniques for inequalities
  • Knowledge of the symbols used in inequalities (e.g., <, ≤)
  • Basic algebra skills for manipulating inequalities
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  • Review the concept of graphing linear inequalities
  • Study the differences between strict and non-strict inequalities
  • Practice solving systems of linear inequalities
  • Learn how to interpret graphical representations of inequalities
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Students studying algebra, educators teaching linear inequalities, and anyone looking to clarify concepts related to graphing inequalities.

swag312
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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 $5x+8y\le40$.
 

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