Question

T = {x/x is a cube of the integer when -3<x<3}​

Answer 1

Answer:

3 is the correct answer ithink

Answer 2

SOLUTION

TO DETERMINE

T = { x : x is a cube of the integer when - 3 < x < 3 }

CONCEPT TO BE IMPLEMENTED

SET :

A set is a well defined collection of distinct objects of our perception or of our thought to be conceived as a whole

Representation of Set :

A set can be represented in following ways

(i) Statement form method

(ii) Roster or tabular form method

(iii) Rule or set builder form method

EVALUATION

Here the given set is

T = { x : x is a cube of the integer when - 3 < x < 3 }

Now cube of an integer must be an integer

The integers between - 3 & 3 are - 2 , - 1 , 0 , 1 , 2

Now

- 2 can not be written as cube of an integer

- 1 = ( - 1 )³

0 = ( 0 )³

1 = ( 1 )³

2 can not be written as cube of an integer

Hence

T = { - 1 , 0 , 1 }

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