Question

Which linear inequality is represented by the graph?

Answer 1

See the explanation

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:

$y < 3x + 2$

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:

$y > 3x + 2$

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:

$y < \frac{1}{3}x + 2$

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:

$y > \frac{1}{3}x + 2$

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: brainly.com/question/12890742

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