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Chapter 4: Q. 674 (page 573)

In the following exercises, write the inequality shown by the shaded region.

Write the inequality shown by the graph with the boundary line

x+y=-4

Short Answer

Expert verified

The inequality shown by the graph isx+y鈮�-4.

Step by step solution

01

Step 1. Given Information

A graph with boundary line x+y=-4is given.

We have to find the inequality the graph represents.

02

Step 2. Definition of a solution

An ordered pair (x,y)is a solution of the linear inequality if the pair of values satisfy the inequality when substituted.

03

Step 3. Determining the inequality

The boundary line has one side of the points satisfying x+y<-4and other side satisfyingx+y>-4

Consider a point in the shaded area in the given graph.

Let us consider .

Check which inequality the point satisfies.

x+y<-4鈬�0+0<-4鈫�0<-4 False.

True.

Since the boundary line is marked with a solid line, equal to sign is also included.

Therefore the inequality graph represents is x+y>-4.

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Most popular questions from this chapter

In the following exercises, complete the table to find solutions to each linear equation.

Plot each point: 鈸� (鈭�5,0) 鈸� (3,0) 鈸� (0,0) 鈸� (0,鈭�1) 鈸� (0,4)

In the following exercises, plot each point in a rectangular coordinate system and identify the quadrant in which the point is located.

鈸� (3,鈭�1)鈸� (鈭�3,1)鈸� (鈭�2,2)鈸� (鈭�4,鈭�3) 鈸�(1,145)

In the following exercises, plot each point in a rectangular coordinate system.

7. 鈸� (0,0) 鈸� (0,鈭�3)鈸� (鈭�4,0) 鈸� (1,0) 鈸� (0,鈭�2)

Weight of a baby. Mackenzie recorded her baby鈥檚 weight every two months. The baby鈥檚 age, in months, and weight, in pounds, are listed in the table below, and shown as an ordered pair in the third column.

鈸� Plot the points on a coordinate plane.

鈸� Why is only Quadrant I needed?
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