Chapter 3: Q271. (page 312)

Graph the linear inequality:
$y > - 2 x + 1$

Short Answer

Expert verified

The solution is

Step by step solution

Given data

The inequality is

$y > - 2 x + 1$

Concept used

First, we draw the boundary line $y = - 2 x + 1$ .

It is in slope-intercept form $y = m x + b$ where $m = - 2$ and $b = 1$

Here the inequality is $>$ .

So, we draw a dashed line as bellow,

Point test

We can see that the point $(0, 0)$ is not on boundary line.

To check $(0, 0)$ is a solution of the inequality or not:

$y > - 2 x + 1$

role="math" localid="1644463411771" $0 > - 2 \cdot 0 + 1$

role="math" localid="1644463421871" $0 > 0 + 1$

role="math" localid="1644463430159" $0 > 1$

Which is not possible.

So, $(0, 0)$ is not a solution of the inequality $y > - 2 x + 1$ .

Conclusion

Thus, we shade in the side of the boundary line that does not include the point $(0, 0)$ .

The graph will be

All points in the shaded region represent the solutions to $y > - 2 x + 1$ .

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Graph the linear inequality:
$y > - 2 x + 1$

Short Answer

Step by step solution

Given data

Concept used

Point test

Conclusion

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Graph the linear inequality:y>-2x+1

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

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Probability and Statistics

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Study anywhere. Anytime. Across all devices.

Graph the linear inequality:
$y > - 2 x + 1$