Answer
Option A is correct.
The inequality equation represented by the graph is
y < 3x + 2
Explanation
When plotting the graph of linear inequality equations, the first step is to first plot the graph of the straight line normally, using intercepts to generate two points on the linear graph.
Looking at the graph given, we can tell that the graph without considering the inequality yet is y = 3x + 2
If the inequality sign is (< or >), then the line drawn will be a broken line.
If the inequality sign is (≤ or ≥), then the line drawn is an unbroken one.
For this question, we can see that the lin is a broken line, so, the inequality sign will either be a < or >.
The shaded region now depends on whether the inequality sign is facing y or not.
If the inequality sign is facing y, it means numbers above the line plotted are the wanted region and the upper part of the graph is shaded.
If the inequality sign is not facing y, it means numbers below the line plotted are the wanted region and the lower part of the graph is shaded.
For this question, we can see that the lower part of the line is shaded, so, that means the inequality sign is not facing y.
So, the inequality equation represented by the graph is
y < 3x + 2
Hope this Helps!!!
