RAFFLES INSTITUTION

GIFTED EDUCATION PROGRAMME

ADDITIONAL MATHEMATICS

ASSIGNMENT 1

1. List the elements of the following sets:

(a)

(b)

(c)

(d)

2. List the elements of the sets and

.

(a) Find an element such that and .

(b) Find the set .

3. Given that , list the elements of the sets and .

(a) Find an element such that and .

(b) Is ?

4. Given that , and , list the elements of

(a) and B.

(b) and .

Describe the sets C and D.

5. Given that , and , list the elements of the sets .

Hence find an element x such that and . Is a proper subset of ?