Question

if x is a set contains and integer which is the neither positive nor negative then the set x is​

Answer 1

Answer:

In integers the integer which is not positive neither negative is 0.

Answer 2

SOLUTION

COMPLETE QUESTION

If X is a set and the set contains an integer which is neither positive nor negative then the set X is

a) Set is Empty

b) Set is Non-empty

c) Set is Finite

d) Set is both Non- empty and Finite.

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 it is given that X is a set and the set contains an integer which is neither positive nor negative

We know that the only integer which is neither positive nor negative is 0

Thus we have X = { 0 }

Since X contains only one element

So X is non empty set

More precisely X is singleton set

Again since X contains finite number of elements

So X is finite set

FINAL ANSWER

Hence the correct option is

d) Set is both Non- empty and Finite.

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