Final answer:
Without the provided graph, it is impossible to determine the correct linear inequality. Normally, one would analyze the graph's slope, y-intercept, and shading to identify the corresponding inequality. The slope-intercept form, y = mx + b, is essential for interpreting linear equations and inequalities graphically.
Step-by-step explanation:
The student asked which linear inequality is represented by the graph, but without the specific graph provided, we cannot determine the correct inequality from the options given (A. y ≥ 3x + 2, B. y ≤ 2x + 2, C. y ≤ x + 2, D. y ≥ 2x + 2). To identify the correct inequality, one should analyze the graph to determine the slope of the line, the y-intercept, and whether the inequality is ≤ or ≥ based on whether the shaded area is above or below the line.
According to the provided reference information, linear equations take the form y = mx + b, where m represents the slope and b represents the y-intercept. If the line is increasing, the slope is positive (b > 0), and if the line is decreasing, the slope is negative (b < 0). The inequality symbol (≤ or ≥) depends on whether the area of solutions is above or below the line on the graph.
To help with future questions of this nature, remember the slope-intercept form of a linear equation y = mx + b is crucial for deciphering the equation from a graph.