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Chapter 3: Q273. (page 312)

Graph the linear inequality:

2x+y鈮�-4

Short Answer

Expert verified

The solution is

Step by step solution

01

Given data

The inequality is

2x+y鈮�-4

02

Concept used

First, we draw the boundary line 2x+y=-4.

Here the inequality is 鈮�.

So, we draw a solid line as below,

03

Point test

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

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

2x+y鈮�-4

2路0+0鈮�-4

0鈮�-4

Which is not possible

So, 0,0is not a solution of the inequality 2x+y鈮�-4.

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 and on the boundary line, represent the solutions to2x+y鈮�-4.

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Most popular questions from this chapter

In the following exercises, find the equation of a line containing the given points. Write the equation in slope鈥搃ntercept form.

(3, 8) and (3, 鈭�4)

Graph the equationsx=-2,y=-5.

Use the slope formula to find the slope of the line between each pair of points.

3,-6,2,-2.

Find the equation of a line with slope25andy-intercept(0,4).

Use graph of y=3x-1. For each ordered pair, decide :

(a) Is the ordered pair A(0,-1),B(2,5)a solution to the equation.

(b) Is the point A(0,-1),B(2,5)on the line?
See all solutions

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