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Chapter 3: Q.550 (page 365)

Write the inequality shown by the graph with the boundary liney=-x-3

Short Answer

Expert verified

The inequality of the graph isy鈮�-x-3

Step by step solution

01

Step 1. Given Information

Given graph with the boundary line y=-x-3is

The inequality for the graph is to be determined.

02

Step 2. Calculation

Since the boundary line is y=-x-3and the line is a solid line, the inequality would be of the form localid="1645529690934" y鈮�-x-3or localid="1645529705688" y鈮�-x-3.

The inequality can be decided by plugging a point from the graph and checking if it satisfies the graph.

From the graph, the point 0,0lies in the shaded region.

Plugging the point in the first inequality:

y鈮�-x-30鈮�?-0-30鈮�-3

Hence the point does not satisfy the inequality.

So this is not the required the inequality.

Since y鈮�-x-3, the inequality that satisfies the point isy鈮�-x-3

03

Step 3. Conclusion

The inequality of the given graph isy鈮�-x-3

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Most popular questions from this chapter

Graph the equationx=-5,y=-2.

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a) Graph each function. b) State its domain and range. Write the domain and range in interval notation.

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