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.
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 $5x+8y\le40$.
 
Thread 'Erroneously finding discrepancy in transpose rule'

Thread 'Erroneously finding discrepancy in transpose rule'

Obviously, there is something elementary I am missing here. To form the transpose of a matrix, one exchanges rows and columns, so the transpose of a scalar, considered as (or isomorphic to) a one-entry matrix, should stay the same, including if the scalar is a complex number. On the other hand, in the isomorphism between the complex plane and the real plane, a complex number a+bi corresponds to a matrix in the real plane; taking the transpose we get which then corresponds to a-bi...
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