) जर A = { 1, 2, 3, 4, 5, 6 }, B = { 4, 6, 8}, C = { 1, 4}, D = { 2, 4, 6} तर पुढीिपैकी कोिते ववधाि असत्य आिे (A) A A (B) B A (C) D A (D) C A
Answers
Answer:
जर A={1,2,3,4,5,6,}B={4,6,8,},C={1,4, }D={2,4,6}विधान सत्य आहे
SOLUTION
TO CHOOSE THE CORRECT OPTION
If A = { 1, 2, 3, 4, 5, 6 } , B = { 4, 6, 8} , C = { 1, 4} , D = { 2, 4, 6 } then Which of the following statements is untrue
(A) A ⊆ A
(B) B ⊆ A
(C) D ⊆ A
(D) C ⊆ A
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
SUBSET :
A set S is said to be a subset of T if every element of S is an element of T . It is written as S ⊆ T
EVALUATION
Here the given sets are
A = { 1, 2, 3, 4, 5, 6 }
B = { 4, 6, 8}
C = { 1, 4}
D = { 2, 4, 6 }
CHECKING FOR OPTION : 1
Here every element of A is also an element of A
So A ⊆ A
CHECKING FOR OPTION : 2
Here 8 is an element of B but not an element of A
So B ⊄ A
CHECKING FOR OPTION : 3
Here every element of D is also an element of A
So D ⊆ A
CHECKING FOR OPTION : 4
Here every element of C is also an element of A
So C ⊆ A
FINAL ANSWER
Hence the correct option is (B) B ⊆ A
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