Chapter 3: Q276. (page 312)

Graph the linear inequality:
$4 x - 3 y > 12$

Short Answer

Expert verified

The solution is

Step by step solution

Given data

The inequality is

$4 x - 3 y > 12$

Concept used

First, we draw the boundary line $4 x - 3 y = 12$ .

Here, the inequality is $>$ .

So, we draw a dashed line as below,

Point test

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

Let's check $(0, 0)$ is a solution of the inequality or not.

$4 x - 3 y > 12$

$4 \cdot 0 - 3 \cdot 0 > 12$

role="math" localid="1644469861115" $0 - 0 > 12$

$0 > 12$

This is not possible.

So, $(0, 0)$ is not a solution of the inequality $4 x - 3 y > 12$ .

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, but not on the boundary line, represent the solutions to $4 x - 3 y > 12$ .

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Graph the linear inequality:
$4 x - 3 y > 12$

Short Answer

Step by step solution

Given data

Concept used

Point test

Conclusion

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Graph the linear inequality: 4x-3y>12

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

Logic and Functions

Theoretical and Mathematical Physics

Geometry

Calculus

Pure Maths

Decision Maths

Study anywhere. Anytime. Across all devices.

Graph the linear inequality:
$4 x - 3 y > 12$