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Chapter 4: Q. 148 (page 554)

Graph the linear inequality y鈮�-2x.

Short Answer

Expert verified

The graph of the inequality y鈮�-2xis:

Step by step solution

01

Step 1. Given information 

We have been given an inequality y鈮�-2x.

We have to graph this inequality.

02

Step 2. Identify and graph the boundary line 

Replace the inequality sign with an equal sign to find the boundary line.

y=-2x

Since the inequality sign is 鈮�, we will draw a solid line.

03

Step 3. Test the point ( 1, 1) for the region as the solution 

Substitute ( 1, 1) in the given inequality

y鈮�-2x1鈮�?-2(1)1鈮�-2

Therefore, shade the region that contains the point ( 1, 1).

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Most popular questions from this chapter

Write the inequality shown by the graph with the boundary line y = 3x 鈭� 4.

find an equation of a line parallel to the line y=3x+4 and contains the point (2,5). Write the equation in slope鈥搃ntercept form.

In the following exercises, find the x- and y-intercepts on each graph.

Margie is planning a dinner banquet. The equation C=750+42gmodels the relation between the cost in dollars, C of the banquet and the number of guests, g.

(a) Find the cost if the number of guests is 50 .

(b) Find the cost if the number of guests is 100 .

(c) Interpret the slope and C-intercept of the equation.

(d) Graph the equation.

In the following exercises, find the intercepts for each equation.

x-y=1
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