The characteristics of the given graph that can be used to find the
inequality are the y-intercept and the shaded region of the inequality.
Correct response:
- The inequality of the given graph is [tex]\underline{j. \hspace{0.3 cm} 3 \cdot x - 1 \geq y}[/tex]
Method used to find the inequality of the graph
Given:
From the given diagram, we have that the inequality is a linear inequality,
therefore, the inequality can be expressed as y ≤ m·x + c.
Where:
m = The slope
c = The y-intercept
From the graph, the y-intercept of the graph of the inequality is at the point (0, -1)
Therefore;
The shaded region which is to the right of the line with a positive slope
(the straight line increasing from left to right) indicates that the value of y is
less than the equation of the line of the inequality.
The solid line in the graph indicates that the inequality relationship is less
than or equal to (≤).
The inequality that has -1 as the y-intercept and a shaded region to the right of the solid line from among the given options is option j. 3·x - 1 ≥ y
The above inequality can be written as follows;
y ≤ 3·x - 1
Therefore;
- The inequality of the graph is [tex]\underline{j. \hspace{0.3 cm} 3 \cdot x - 1 \geq y}[/tex]
Learn more about inequalities here:
https://brainly.com/question/11374918
