The image contains a coordinate plane graph along with a system of linear inequalities. ### System of Inequalities: 1. \(-x - 2y \leq 6\) 2. \(-2x - 6y \geq 12\) ### Description of the Graph: The graph is a coordinate plane where both the x-axis and y-axis range from -7 to 7. The units on both axes increase by 1. - **First Inequality (\(-x - 2y \leq 6\)):** - This inequality represents a line and a half-plane. The line itself is not plotted, but its boundary would be expressed as \(x + 2y = -6\). The area of interest would be below this line, given the direction of the inequality. - **Second Inequality (\(-2x - 6y \geq 12\)):** - This inequality represents another line and its accompanying half-plane. The boundary line could be expressed as \(2x + 6y = -12\). The area of interest would be above this line, as indicated by the inequality. ### Explanation for Educational Context: To solve this system graphically, students would draw the lines represented by the equalities \(x + 2y = -6\) and \(2x + 6y = -12\) on the graph. They would then identify the solution region that satisfies both inequalities simultaneously, often a common overlapping area that meets the criteria of being below the first line and above the second. This exercise helps with understanding graphical solutions to systems of inequalities and visualizing feasible regions.

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