The linear inequality that describes the given graph is: D. y ≥ 2x – 2.
How to Determine the Linear Inequality of a Graph?
Below are the rules to note when determining the linear inequality of a graph:
- If the boundary line is not dashed or dotted (solid line), the inequality sign that would be used is ≤ or ≥.
- If the boundary line is dashed or dotted, the inequality sign that would be used is < or >.
- If the shaded area is above the boundary line, the inequality sign to used would be > or ≥.
- If the shaded area is below the boundary line, the inequality sign to used would be < or ≤.
Find the slope (m) of the line given:
Slope (m) = change in y / change in x = 2 units/1 unit
Slope (m) = change in y / change in x = 2
Find the y-intercept (b) of the line given:
Y-intercept (b) = -2 (where the line meets the y-axis).
The boundary line is a solid line, and the shaded area is above it, thus, inequality sign that would be used is "≥".
Substitute m = 2 and b = -2 into y ≥ mx + b:
y ≥ 2x - 2
Thus, the linear inequality that describes the given graph is: D. y ≥ 2x – 2.
Learn more about the linear inequality on:
https://brainly.com/question/18881247
#SPJ1
