] If A- [a, b, c, d, e, f, g,h], B = [a,c,e] , C = (a, e,i] D=[g,h,i]
Answers
Step-by-step explanation:
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SOLUTION
TO CHOOSE THE CORRECT OPTION
If A= {a, b, c, d, e, f, g, h}, B= {a, c, e}, C= {a, e, i}, D= {g, h, i}
then which of the following statement is true
(A) C ⊆ A
(B) B ⊆ A
(C) D ⊆ A
(D) B ⊆ D
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 = {a, b, c, d, e, f, g, h}
B = {a, c, e}
C = {a, e, i}
D= {g, h, i}
CHECKING FOR OPTION : A
Here i is an element of C but not an element of but not an element of A
So C ⊄ A
So this option is not correct
CHECKING FOR OPTION : B
Every element of B is an element of A
So B ⊆ A
So this option is correct
CHECKING FOR OPTION : C
Here i is an element of D but not an element of but not an element of A
So D ⊄ A
So this option is not correct
CHECKING FOR OPTION : D
Here no element of B are in D
So B ⊄ D
So this option is not correct
FINAL ANSWER
Hence the correct option is
(B) B ⊆ A
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