(A) 10 (B) 16 (C) 20 (D ) 8
eduhilfe Latest Questions
be the Signum Function defined as 
and 
be the Greatest Integer Function given by g (x) = [x], where [x] is greatest integer less than or equal to x . Then, does 
and 
coincide in (0, 1] ?(A) 1 (B) 2 (C) 3 (D) 4
be functions defined by 
and 
. Are f and g equal ? Justify your answer . (Hint: One may note that two functions 
and 
such that 
, are called equal functions).
Show that zero is the identity for this operation and each element a of the set is invertible with 6 – a being the inverse of a.
be defined as 
. Show that the empty set 
is the identity for the operation * and all the elements A of P(X) are invertible with 
. ( Hint : 
and 
).
and 
defined as 
and 
. Show that * is commutative but not associative, o is associative but not commutative. Further, show that 
. [If it is so, we say that the operation * distributes over the operation o]. Does o distribute over * ? Justify your answer.
of the following functions F from S to T, if it exists.(i) F = {(a, 3), (b, 2), (c, 1)} (ii) F = {(a, 2), (b, 1), (c, 1)}