Cambridge International Mathematics

EXERCISE 32B

1 Write inequalities to represent the following unshaded regions,

abc

de f

gh i

2 Graph the regions defined by:

a x< 4 b x>¡ 1 c y> 2

d y<¡ 1 e 0 <x< 3 f ¡ 16 y 62

g ¡ 2 <x 63 h ¡ 16 y< 4 i 06 x 63 and 16 y 64

3 Graph the regions defined by:

a x+2y 64 b 2 x+y> 5 c 3 x+2y< 6

d 2 x+3y> 6 e 2 x¡ 3 y< 12 f 5 x+2y> 10

g 2 x¡ 5 y<¡ 10 h 4 x+3y< 6 i 4 x¡ 3 y> 12

j y>x k y<¡x l 2 x+5y> 0

4 Graph the regions defined by:

a x> 0 and y> 2 b x 6 ¡ 2 and y> 4

c x> 0 , y> 0 and x+y 64 d x> 0 , y> 0 and 2 x+y< 6

e x> 2 , y> 0 and x+y> 6 f x> 0 , y> 3 and 2 x+3y> 12

5

ab

y

O x

R

R:

y

O x

R

2

y

O x

RR

4

y

O R x

-1

y

x

O

R

-1

y

O x

R

3

y

O x

R

1 R

-1

y

O R x

3

-2

-2 2

y

O x

R

3

4

()5 ¡5,

O

y

x

()10 ¡10,

10

10

2 R

O

y

x

12

10

R

5

()15 ¡5,

2

Write down inequalities which represent the unshaded regionRof:

Inequalities (Chapter 32) 643

IGCSE01

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Y:\HAESE\IGCSE01\IG01_32\643IGCSE01_32.CDR Friday, 31 October 2008 9:25:21 AM PETER