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Explanation:
Since you don't provide any graph I can't give you an exact answer. However, I'll give you the fourth graph for this problem. So we have:
First:
We have the inequality:
[tex]y < 3x + 2[/tex]
The symbol < tells us that the line is dotted and the shaded region is below the line. Also, the slope is 3 and the y-intercept is 2. So as x increases one unit y increases 3, so if (0, 2) which is both a point and the y-intercept of the line, then (1, 5) will also be a point on the line. By using graphing tool we get the first graph below.
Second:
We have the inequality:
[tex]y > 3x + 2[/tex]
This case is similar to the previous one. The only difference is that the shaded region is above the line. The graph is the second one below.
Third:
We have the inequality:
[tex]y < \frac{1}{3}x + 2[/tex]
Again the line is shaded under the graph. Also, the slope is 1/3 and the y-intercept is 2. So as x increases one unit y increases 1/3, or in other words, as x increase 3 units y increases one unit, so if (0, 2) which is both a point and the y-intercept of the line, then (3, 3) will also be a point on the line. By using graphing tool we get the third graph below.
Fourth:
We have the inequality:
[tex]y > \frac{1}{3}x + 2[/tex]
This case is similar to the previous one. The only difference is that the shaded region is above the line. The graph is the fourth one below.
Learn more:
Inequalities: https://brainly.com/question/12890742
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