A= 2
{x:x?_q=0, x<0}
}
{ x:x <3}
xix EN <3
B
ВХА.
Answers
Answered by
0
Answer: f:A×B→B×A is defined as f(a,b)=(b,a).
Let (a
1
,b
1
),(a
2
,b
2
)∈A×B such that f(a
1
,b
1
)=f(a
2
,b
2
).
⇒(b
1
,a
1
)=(b
2
,a
2
)
⇒b
1
=b
2
) and (a
1
=a
2
)
⇒(a
1
,b
1
)=(a
2
,b
2
)
∴f is one-one.
Now, let (b,a)∈B×A be any element.
Then, there exists (a,b)∈A×B such that
f(a,b)=(b,a). [By definition of f]
∴f is onto.
Hence, f is bijective
Explanation:
Similar questions