state true or false and prove the true ones

Asked by geethika | 24th Jul, 2010, 07:33: PM

Expert Answer:

Dear Student
 
Please raise only one question in a query solution of First 3 is provided here try the others similarly
(i) False
let A ={x,y,z} so x is an element of A
and B={{x},A,{1,2},{1,3}}
then A is an element of B but x is not an element of A.
(ii) False
Let A = {1, 2, 3}, B = {1, 2, 3, 4, 5}, then A  B
C = {{1, 2, 3, 4, 5}, {5, 6}, {1, 2}} and B  C but A  C  
(iii) False
Let A =[1,2,3,4} B ={1,2,3,4,5,}
C={1,2,3,4,5,9}
So A B BC but A is not an  element of C.
(iv) False
(v)False
(vi) True This follows from the definition only
 

Answered by  | 26th Jul, 2010, 10:31: AM

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