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Mathematics
Mathematics
Problem
Let
A
=
{
0
,
1
,
2
,
3
,
4
}
A=\{0,1,2,3,4\}
A
=
{
0
,
1
,
2
,
3
,
4
}
and
B
=
{
1
,
3
,
5
,
7
,
9
}
B=\{1,3,5,7,9\}
B
=
{
1
,
3
,
5
,
7
,
9
}
. An ordered pair
(
a
,
b
)
∈
A
×
B
(a,b)\in A\times B
(
a
,
b
)
∈
A
×
B
is said to be acceptable if
a
<
b
2
a<\dfrac{b}{2}
a
<
2
b
. a. (i) Find the number of acceptable ordered pairs. b. (ii) Determine the domain and range of the set of all acceptable ordered pairs.
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