f NAME
DATE
PERIOD
Homework Practice
_____
Inequalities
D e t e r m i n e w h i c h n u m b e r i s a solution of the inequality.
1. 32 + a > 4 4 : ^ J ^ > < ^
HI
7
2. 15 - x < 6 ; ( 9 j ^ ^
6 < 6
MM
3 . 28 + r > 60;(3gl 3 1 , 30
4. 4 9 - / 1 > 8 ; 4 0 , ; 4 i , ^
5, 1 6 - « < 1; 13, 1 4 , ( l 5
6. 9 + 7 > 36; 25, 26,
q t 2 - 7 >-^6
Is t h e given value a solution of the inequality?
7. 9 - 5 > 3 ; ^ = 5
4
S. 42 + h < 53;h = 10
V
Z 3
9. ^ - 22 > 20; ^ = 38
10. !^ + 12 > 7 0 ; = 55
SSTt
5S-22 Z 2 0
it'
XD
11. 88 + m > 100; m. = 1 1
f
> 10
12. 12p < 76; p = 6
I
?
•7 2 - ^ 7 6
iCO
13. RAFFLE T h e local L i o n s C l u b sold r a f f l e t i c k e t s f o r a
n e w g o l f c a r t . T h e sales f o r each w e e k are g i v e n i n t h e
t a b l e . I f m o r e t h a n 250 t i c k e t s a r e sold, t h e n t h e
L i o n s C l u b r a i s e d e n o u g h f o r t h e g o l f c a r t . Use t h e
i n e q u a l i t y t > 250, w h e r e t r e p r e s e n t s t h e n u m b e r o f
t i c k e t s sold, t o d e t e r m i n e t h e w e e k s i n w h i c h t h e y r a i s e d
e n o u g h money.
3
Week
Tickets Sold
1
248
2
315
y
3
296
V
4
210
n
?
2
14. LAPS T h e t r a c k coach records t h e n u m b e r o f laps t h e
t e a m r u n s each d a y f o r a w e e k i n t h e t a b l e t o t h e r i g h t .
I f t h e t e a m r u n s a t m o s t 10 laps each day, t h e n t h e y h a v e
to practice S a t u r d a y . U s e t h e i n e q u a l i t y £ < 10, w h e r e £
r e p r e s e n t s t h e n u m b e r of laps t h e t e a m r u n s , t o
d e t e r m i n e w h i c h days t h e y d i d n o t r u n t h e r e q u i r e d
n u m b e r of laps.
IP^^x^BjfpM^'
Chapter 8
For more examples,
Day
Laps
Monday
8
Tuesday
10 v/
Wednesday
12 M
V
Thursday
13
Friday
9
vj
go to glencoe.com.
42
Course 1
DATE
PERIOD
Problem-Solving Practice
Inequalities
1. SAFETY T h e speed h m i t on some
2. CAMERAS T h e cost of a c a m e r a a t
Georgia I n t e r s t a t e s is 70 m i l e s per
d i f f e r e n t stores is s h o w n i n t h e t a b l e .
hour. I f a d r i v e r t r a v e l s f a s t e r t h a n
K a y l a doesn't w a n t t o s p e n d m o r e t h a n
70 m i l e s per h o u r , he or she receives a
$400 o n a c a m e r a . Use t h e i n e q u a l i t y
t i c k e t . Use t h e i n e q u a l i t y s > 70, w h e r e
c < $400, w h e r e c r e p r e s e n t s t h e cost of
s r e p r e s e n t s t h e speed of cars o n t h e
a c a m e r a to d e t e r m i n e w h i c h stores she
i n t e r s t a t e to d e t e r m i n e w h i c h cars get a
could b u y
ticket.
5 >
Car
C a m e r a Castle
Digital Dreams
$401.75
P h o t o Palace
$422.85
f
Flower
Show
People Present
Roses
Romeo a n d J u l i e t
176
Tulips
(164
Macbeth
Carnations
Jolon
H e i g h t (in.)
^ •^s
Tandy
49
Flo
Chapter 8
>
SO
Numb^ilSold
(
112
V
43
208
5. RIDES T h e r o l l e r coasters a t t h e t h e m e
p a r k r e q u i r e c h i l d r e n to be over
48 inches t a l l to r i d e . Use t h e i n e q u a l i t y
h < 48, w h e r e h r e p r e s e n t s each child's
height to determine w h i c h children can
n o t r i d e r o l l e r coasters.
Cruz
'v4389.50y
4. FLOWERS T h e florist k e p t t r a c k o f t h e
flowers she sold on V a l e n t i n e ' s Day. I f
she sells a t least 50 flowers, she
receives a bonus. U s e t h e i n e q u a l i t y
f > 50, w h e r e / " r e p r e s e n t s t h e n u m b e r of
flowers sold to d e t e r m i n e w h i c h flowers
she sold e n o u g h of.
p ^ I 7S
Child
^ ^ M C'O
Store
Speed
3. CONCERT T h e n u m b e r of people w h o
a t t e n d e d each t h e a t e r show a t t h e l o c a l
a r t s club is s h o w n i n t h e t a b l e . I f less
t h a n 175 people a t t e n d , t h e n t h e a r t s
c l u b d i d n o t m a k e e n o u g h to cover
costs. Use t h e i n e q u a l i t y p < 175, w h e r e
p r e p r e s e n t s t h e n u m b e r of people
p r e s e n t , to d e t e r m i n e for w h i c h show
t h e y d i d n o t m a k e e n o u g h money.
_
Hamlet
from.
70
C47J
6. BAKE SALE T h e school b a k e sale r e s u l t s
are g i v e n i n t h e t a b l e . I f m o r e t h a n 20
of a b a k e d good a r e sold, t h e n m o r e
b a k e d goods a r e m a d e . Use t h e
i n e q u a l i t y h > 20, w h e r e b r e p r e s e n t s
t h e n u m b e r of goods sold to d e t e r m i n e
w h i c h b a k e d goods need t o be m a d e .
Baked Goods Number Sold
Cakes
^
Cookies
(^48^
Cupcakes
50
Pies
43
15
Course 1