Question

A = { x : x belongs to Z , -3 ≤ x < 4 }​

Answer 1

Answer:

A = { -3 , -2 , -1 , 0 , 1 , 2 , 3 }

Note:

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

★ There are two ways of representing a set : 1) Set builder form

2) Roster form

★ In set builder form , the common properties of the elements are written .

★ In roster form , the elements themselves are listed .

★ Cardinal number : The number of elements in a finite set is called the cardinal number .

★ The cardinal number of a finite set A is denoted by n(A) .

Solution:

Here,

The given set is ;

A = { x : x belongs to Z , -3 ≤ x < 4 }

Clearly,

The given set A is in set builder form .

Thus ,

The given set A in roster form will be ;

A = { -3 , -2 , -1 , 0 , 1 , 2 , 3 }

Also,

The Cardinal number of set A is 7 , ie ;

n(A) = 7