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Chapter 3: Q276. (page 312)

Graph the linear inequality:

4x-3y>12

Short Answer

Expert verified

The solution is

Step by step solution

01

Given data

The inequality is

4x-3y>12

02

Concept used

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

Here, the inequality is >.

So, we draw a dashed line as below,

03

Point test

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

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

4x-3y>12

4路0-3路0>12

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

0>12

This is not possible.

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

04

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 to4x-3y>12.

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