Question

X:x=5nx-3,n €w,and n <3

Answer 1

Answer:

{ - 3 , 2 , 7 }

Note:

★ Set : A well defined collection of distinct objects is called set .

★ There are two ways of representing a set .

1). Set builder form

2). Roster form

★ Set builder form of a set : The common properties of elements (or members) are written.

★ Roster form of a set ; The elements (or members) are already listed .

Solution:

Let the given set be A .

Thus,

A = { x : x = 5n - 3 , n € W and n < 3 }

Clearly,

The given set is in set builder form.

Now,

If n = 0 , then

=> x = 5×0 - 3

=> x = 0 - 3

=> x = -3

If n = 1 , then

=> x = 5×1 - 3

=> x = 5 - 3

=> x = 2

If n = 2 , then

=> x = 5×2 - 3

=> x = 10 - 3

=> x = 7

Thus,

The given set A in its roster form will be ;

A = { - 3 , 2 , 7 }

Hence,

The required answer is :

{ - 3 , 2 , 7 }