Which inequality describes the graph above?

Assessment: JAMB UTME - Mathematics - 2023 Subject: General Mathematics

Question 1 Report

Which inequality describes the graph above?

Answer Details

The inequality that describes the graph above is 5y + 4x <= 20.


Let's break down the reasoning behind this answer:


In the given inequality options, we can see that the coefficients in front of x and y are 5 and 4 respectively. In the graph, we can observe that the line is steeper in the y-direction compared to the x-direction. This means that the slope of the line is greater in the y-direction compared to the x-direction.


The inequality sign for the equation is less than or equal to in the selected option of 5y + 4x <= 20. This suggests that the shaded region below or on the line represents the solution. This is because any point below or on the line will satisfy the condition.


Therefore, the graph above corresponds to the inequality 5y + 4x <= 20.

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