Question

Given A={2,3,4} and B={5,6} Feid A× B​

Answer 1

Answer:

A function f:A→B where for every x1,x2∈X, f(x1)=f(x2)⇒x1=x2 is called a one-one or injective function.

(i) Let f:A→B denotes a mapping such that

f={(x,y):y=x+3

It can be written as follows in roster form

f={(2,5),(3,6),(4,7)}

But this is an injective mapping.

(ii) Let g:A→B denotes a mapping such that

g={2,2),(3,5),(4,5)}

Here it is clear that it is not an injective mapping.

(iii) Let h:B→A denotes a mapping such that

h={(2,2),(5,3),(6,4),(7,4)}

Here it is clear that every first components is from B and second is from A thus h is a mapping from B to A

Step-by-step explanation:

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