Chapter 2: Q17. (page 98)

Graph each inequality.
$y \geq - 4 x + 3$

Short Answer

Expert verified

The graph of the inequality is shown below:

Step by step solution

– Find the boundary line equation of the given equation.

Consider the inequality $y \geq - 4 x + 3$

The boundary line equation is $y = - 4 x + 3$

Here the inequality is localid="1647309215992" $\geq$ graph the boundary line as a solid line.

The equation $y = - 4 x + 3$ is in slope-intercept form with slope -4.

– Choose a test point and test the inequality.

Choose the test point as $(0, 0) .$

Substitute $x = 0, y = 0$ in localid="1647309231276" $y \geq - 4 x + 3$

$\begin{array}{l} y \geq - 4 x + 3 \\ 0 \geq - 4 (0) + 3 substitute0for x, 0 for y \\ 0 \geq 3 false \end{array}$

– Conclusion

Since, $0 \geq 3$ results a false inequality, so, shade the region that does not contain the point $(0, 0) .$

Graphical representation of localid="1647309243093" $y \geq - 4 x + 3$

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Graph each inequality.
$y \geq - 4 x + 3$

Short Answer

Step by step solution

– Find the boundary line equation of the given equation.

– Choose a test point and test the inequality.

– Conclusion

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Graph each inequality.y≥-4x+3

Short Answer

Step by step solution

– Find the boundary line equation of the given equation.

– Choose a test point and test the inequality.

– Conclusion

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Pure Maths

Decision Maths

Mechanics Maths

Discrete Mathematics

Logic and Functions

Study anywhere. Anytime. Across all devices.

Graph each inequality.
$y \geq - 4 x + 3$