The image displays a graph with two inequalities: 1. \( y > \frac{1}{2}x - 1 \) 2. \( y < -4x - 2 \) Graph Details: - The graph is plotted on a Cartesian coordinate system with axes ranging from -5 to 5 on both x and y axes. - There are grid lines for precise plotting of the inequalities. Explanation of Graphing the Inequalities: - The first inequality, \( y > \frac{1}{2}x - 1 \), represents a region above the line \( y = \frac{1}{2}x - 1 \). This line would be dashed to indicate that points on the line are not included in the solution set. - The second inequality, \( y < -4x - 2 \), represents a region below the line \( y = -4x - 2 \). This line would also be dashed, indicating that points on the line are not part of the solution set. Interface Elements: - There are options labeled "Clear All" and "Draw" under the graph, with corresponding drawing tools depicted as dashed lines with points. These are likely used for interactive graphing tools. - A "Submit Question" button is available for interaction, alongside a "Question Help" option with an option to message an instructor for assistance.

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Equations and inequalities describe the relationship between two mathematical expressions.

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A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.