Think

H o w is th is in e q u a lity

different from the

o n e in P ro b le m 3?

The coefficient is

negative. You can s till

use the properties o f

in e q u a lity to solve, b u t

pay attention to the

d ire ctio n o f th e sym bol.

Dividing by a Negative Number

What are the solutions of - 9y ^ 63? Graph the solutions.

-9y<63

Divide each side by - 9. Reverse the inequality sym bol.

Simplify each side.

Z?y.

-9 :

63

-9

H h ■I I 111

-9 -8 -7 -6 -5 -4 -3 -2

Go t It? 4. W hat are th e solutions of — 5x > —10? G raph th e solutions.

Lesso n Ch eck

Do yo u k n o w H OW?

Match the inequality with its graph.

1. x + 2 > -1

2. -|< -1

3. x-4< — 1


4. —3 x > 9

A.

B.

C.

D.

H 1 ----- 1 ------ 1 ---h

-3 -2-1 0 1

-3 -2 -1

H 1 ----- 1 -----I-

-4 -3 -2 -1

H 0 -H----- 1 -----h

-4 -3 -2 -1

-®-

H h

■I I "

MATHEMATICAL

Do y o u UN DERSTAN D? { g j j j PRA CTICES

5. W hich operation w ould you use to solve the
   inequality? Explain.
   a. 1 < - | b. y - 4 > - 5 c. — 6 m < —36

6. Er r o r A n a l y si s D escribe a n d correct th e error in the

solution.

\ n

\. 5>^2 , -

-5(^Xj(^2 )

/ n>-icK

Pr act i ce an d Pr o b l em - So l v i n g Ex er ci ses

Pr act i ce Solve each inequality. Graph and check your solution.

MAIHEMAIICAl

PRACTICES

7 5 - > — 2 /. _ z

11. 
    

    -§ > 1 .5

    
    


12. 
    

    0 < ~\m

    
    


13. 
    

    1

    
    

12. -3<§

16. — < 6

9.4>§

13. -7<§x


14. -|<-|m

Solve each inequality. Graph and check your solution.

19. 3m >6 20. 4f < - 1 2 21. -30 > -5c


20. llz>-33 24. 56 < —7 d 25. 18b < - 3


21. —5 h < 65 28. 8 f < 64 29. 63 > 7q

See Pr o b lem s 1 and 2.

10. 1 5

14. 8 >|fc


15. -5>-|y

See Pr o b lem s 3 and 4.

22. -4 m < 20


23. -7y> 17


24. — 1 2 x > 1 3 2

I Le sso n 3 - 3 So l v i n g I n e q u a l i t i e s U si n g M u l t i p l i c a t i o n o r D i v i si o n 1 8 1