Question

X such that x belongs to integers and x less than 5.Is this set is finite or infinite set. How??

Answer 1

SOLUTION

GIVEN

X = { x : x ∈ Z and x < 5 }

TO CHECK

• Is this set is finite or infinite set.

• To explain

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

FINITE & INFINITE SET

A set S is said to be finite set if S contains finite number of elements

Otherwise the set is said to be infinite set

EVALUATION

Here the given set is

X = { x : x ∈ Z and x < 5 }

Then

X = { 4 , 3 , 2 , 1 , 0 , - 1 , - 2 ,.... }

Since X contains infinite number of elements

Hence X is an infinite set

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