Beginning Algebra, 11th Edition

3.As of December 2007, airline passengers were allowed one carry-on bag, with dimen-

sions totaling at most45 in. (Source: The Gazette.)

4.As of February 2008, all major airlines except US Airways award at least500 frequent

flier miles per flight. (Source: USA Today.)

5.By 1937, a population of as many as a million Attwater’s prairie chickens had been cut to

less than9000. (Source: National Geographic,March 2002.)

6.[Easter Island’s] nearly 1000 statues, some almost30 feet tall and weighing as much as

80 tons, are still an enigma. (Source: Smithsonian,March 2002.)

Concept Check Answertrueorfalseto each of the following.

7.The point lies on the graph of

8.The point lies on the graph of

9.The points and lie on the graph of

10.The graph of does not contain points in quadrant IV.

In Exercises 11–16, the straight-line boundary has been drawn. Complete the graph by shading

the correct region. See Examples 1–4.

14. 15. 16.

17.Explain how to determine whether to use a dashed line or a solid line when graphing a

linear inequality in two variables.

18.Explain why the point is not an appropriate choice for a test point when graphing

an inequality whose boundary goes through the origin.

Graph each linear inequality. See Examples 1– 4.

31.Explain why the graph of cannot lie in quadrant IV.

32.Explain why the graph of y 6 xcannot lie in quadrant II.

y 7 x

y...- 3 yÚ 4 x y... 2 x

x6- 2 x 71 y... 5

3 x+ 4 y 612 yÚ 2 x+ 1 y6- 3 x+ 1

x+y... 5 x+yÚ 3 2 x+ 3 y7- 6

1 0, 0 2

x... 3 y y6- 1 x 74

x+ 2 yÚ 7 2 x+yÚ 5 - 3 x+ 4 y 712

y 7 x

1 4, 1 2 1 0, 0 2 3 x- 2 yÚ0.

1 4, 0 2 3 x- 4 y...12.

1 4, 0 2 3 x- 4 y 6 12.

228 CHAPTER 3 Linear Equations and Inequalities in Two Variables; Functions

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