To determine which linear inequality matches the given graph, we would need to consider a few key characteristics from the graph:
-
Slope and Y-Intercept: The inequality will likely have the line in the form of \( y = 2x + 2 \). The slope (2) indicates how steep the line is, and the y-intercept (2) indicates where the line crosses the y-axis.
-
Shading Direction: If the area above the line is shaded, that would correspond to "greater than" inequalities (\( > \) or \( \geq \)). If the area below the line is shaded, that would correspond to "less than" inequalities (\( < \) or \( \leq \)).
-
Line Type: If the line is solid, it indicates that the inequality includes equal to (i.e., \( ≤ \) or \( ≥ \)). If the line is dashed, the inequality does not include equal to (i.e., \( < \) or \( > \)).
Based on these points, you would need to analyze the graphical characteristics to choose the correct inequality from the options given.
- If the line is solid and the area above is shaded, the correct inequality would be \( y ≥ 2x + 2 \).
- If the line is solid and the area below is shaded, the correct inequality would be \( y ≤ 2x + 2 \).
- If the line is dashed and the area above is shaded, the correct inequality would be \( y > 2x + 2 \).
- If the line is dashed and the area below is shaded, the correct inequality would be \( y < 2x + 2 \).
Without seeing the graph, I can’t give you a definitive answer. However, you should be able to use these guidelines to find the matching inequality.
1 answer