Q1.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
Answers
Step-by-step explanation:
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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