Question

the set a= x belongs to n and x^2-3x+2=0 is option is (a)null set (be) finite set (c) infinite set (d) none of above​

Answer 1

SOLUTION

TO CHOOSE THE CORRECT OPTION

The set A = { x ∈ N : x² - 3x + 2 = 0 } is

(a)null set

(b) finite set

(c) infinite set

(d) none of above

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

A = { x ∈ N : x² - 3x + 2 = 0 }

Now

x² - 3x + 2 = 0

⇒ x² - 2x - x + 2 = 0

⇒ x ( x - 2) - 1 ( x - 2 ) = 0

⇒ ( x - 2) ( x - 1 ) = 0

⇒ x = 2 , 1

Thus we get

A = { x ∈ N : x² - 3x + 2 = 0 }

⇒ A = { 1 , 2 }

So A contains two elements

Since A contains finite number of elements

So A is a finite set

FINAL ANSWER

Hence the correct option is (b) finite set

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