Final answer:
To identify the inequality graphed on the coordinate plane, we must analyze the slope and shading described by each inequality. Without visual information, we cannot definitively decide which inequality matches the graph; however, we use the slope and shading as clues.
Step-by-step explanation:
To determine which inequality is graphed on the coordinate plane, we need to consider the forms of the equations and inequalities, as well as the properties of their graphs. The given inequalities are:
- y > 2x + 3: This represents a graph with a line that has a positive slope and is shifting upward to the right because the coefficient of x is positive, according to the reference information. Since it is an inequality with a 'greater than' sign, the area above the line is shaded.
- y = 2x − 5: This is a line with a positive slope, as previously stated, but since it is an equation and not an inequality, the graph would just be a line without shading.
- y ≤ x + 2: This inequality includes a line with a positive slope and a shaded area below or on the line, indicating that the y-values are less than or equal to the function of x.
- y ≥ −x − 4: This inequality shows a line with a negative slope (as the coefficient of x is negative) and a shaded area above or on the line to indicate that y-values are greater than or equal to the function of x. It would graph as a line that slopes downward to the right.
The description or image associated with the question would be necessary to identify which specific inequality matches the provided graph. Without visual information, it is not possible to definitively identify which of the given options corresponds to the graph. Nonetheless, based on the descriptions derived from the reference information, one could narrow down the possibilities depending upon the graph's properties such as slope direction and shaded area.