Question

Set of all non zero integers in set builder form​

Answer 1

SOLUTION

TO DETERMINE

Set of all non zero integers in set builder form

EVALUATION

SET

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

Commonly we shall use capital letters A, B, C.... to denote sets and small letters a, b, c.... to denote objects ( or elements) of a set

REPRESENTATION OF SET

A set can be represented in following ways

• Set Builder form

• Tabular or Roster form

Here the given set is Set of all non zero integers

Let S be the set

Then the set in set builder form is

S = { x : x is a non zero integer }

OR

$\sf{S = \{ \: x: x \in \mathbb{Z} \: \: \:and \: \: x \geqslant 0 \: \}}$

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Answer 2

$\huge\underline{\bf \orange{AnSweR :}}$

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

Commonly we shall use capital letters A, B, C.... to denote sets and small letters a, b, c.... to denote objects ( or elements) of a set.

REPRESENTATION OF SET

A set can be represented in following ways

• Set Builder form
• Tabular or Roster form.

Here the given set is Set of all non zero integers

Let S be the set.

• Then the set in set builder form will be like this :-

S = { x : x is a non zero integer }

⠀⠀⠀⠀⠀⠀⠀or

S={x : x ∈ Z and x ⩾0}