To determine which graph represents the given inequality, we need to analyze the statements about the shading of the areas around the line.
In general, when representing inequalities:
- If the inequality is "y < mx + b" (or similar, where m is the slope and b is the y-intercept), we shade below the line, indicating that all points below the line satisfy the inequality.
- If the inequality is "y > mx + b", we shade above the line, indicating that all points above the line satisfy the inequality.
- A solid line indicates "≤" or "≥", while a dotted line indicates "<" or ">".
Based on your descriptions:
A and B appear to mention the same line and shading on the left side, but do not specify if the line is solid or dotted, making it unclear which specific inequality they represent. However, if the left side is faded (shaded), it likely indicates a "greater than" inequality on the right side of that line.
C specifies that the below part of a dotted line is shaded, which typically represents an inequality of the form "y < mx + b".
D states that the right side of the line is faded, which indicates it's likely representing a "less than" inequality on the left.
To summarize:
- If the shaded area is below the line and it's dotted, then C represents the inequality (y < line).
- If the shaded area is to the right of the line, then A or B or D could represent the inequality (y > line) when their exact nature (solid or dotted) is clear.
Without additional context or a specific inequality to analyze, it would be wise to go with C for a definite "less than" scenario if that matches your target inequality, or D for a "greater than" if you consider the right side's fading to indicate lesser values being shaded beneath the line.