DM - Functions & Relations -Q5

+1 vote

Let f be one to one function from a set U to set V. Let S \subseteq U and T \subseteq U

f(Y), where Y \subseteq U,  is defined as following : 

f(Y) = \{ a \in V | f(x) = a \text{ for some x }\in Y \}

Now consider the following statements :

S1: f(S\cup T) = f(S)\cup f(T)

S2: f(S\cap T) \subseteq f(S)\cap f(T)

Which of the above statements is TRUE?

(A). Only S1

(B). Only S2

(C), Both S1 and S2

(D). Neither S1 nor S2

asked Jun 24 in Discrete Maths by gbeditor (44,490 points)
reshown 6 days ago by gbeditor

1 Answer

0 votes
Best answer

Both S1 and S2 are true. Please note that this statements are true for any function. Function need not be one-one. 

answered 4 days ago by deepak-gatebook (112,390 points)
can you take an example and explain, like sir had explained SUT means married or engineer... for s2 statement