Chapter 2: Q15. (page 98)

Graph each inequality.
$y > 6 x - 2$

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 $y > 6 x - 2$

The boundary line equaton is $y = 6 x - 2$

Here the inequality is $>$ , graph the boundary line as a dashed line.

The equation $y = 6 x - 2$ is in slope intercept form with slope 6.

– Choose a test point and test the inequality.

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

Substitute $x = 0, y = 0$ in $y > 6 x - 2$

$\begin{array}{l} y > 6 x - 2 \\ 0 > 6 (0) - 2 substitute0for x, 0 for y \\ 0 > - 2 True \end{array}$

– Conclusion

Since, $0 > - 2$ results a true inequality, so, shade the region that contains the point $(0, 0) .$

Graphical representation of $y > 6 x - 2$

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Graph each inequality.
$y > 6 x - 2$

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>6x-2

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

Logic and Functions

Statistics

Calculus

Theoretical and Mathematical Physics

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Mechanics Maths

Study anywhere. Anytime. Across all devices.

Graph each inequality.
$y > 6 x - 2$