Chapter 3: Q268. (page 311)

Graph the linear inequality:
$x - y < - 3$

Short Answer

Expert verified

The solution is

Step by step solution

Given data

The inequality is

$x - y < - 3$

Concept used

First, we draw the boundary line $x - y = - 3$ .

Here the inequality is $<$ .

So, we draw the dashed line as below,

Point test

We test the point $(0, 0)$ .

$x - y < - 3$

$0 - 0 < - 3$

$0 < - 3$

Which is not possible.

So, $(0, 0)$ is not a solution of the inequality $x - y < - 3$ .

Conclusion

So, we shade the part of the boundary line that does not include the point $(0, 0)$ .

The graph will be

All points in the shaded region, but not those on the boundary line, represent the solutions to $x - y < - 3$ .

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Graph the linear inequality:
$x - y < - 3$

Short Answer

Step by step solution

Given data

Concept used

Point test

Conclusion

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Graph the linear inequality:x-y<-3

Short Answer

Step by step solution

Given data

Concept used

Point test

Conclusion

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Pure Maths

Theoretical and Mathematical Physics

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Graph the linear inequality:
$x - y < - 3$