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Mathematics
Mathematics
Problem
Consider the sets
A
=
{
x
∈
Z
∣
−
1
≤
x
≤
2
}
A = \{x \in \mathbb Z \mid -1 \le x \le 2\}
A
=
{
x
∈
Z
∣
−
1
≤
x
≤
2
}
and
B
=
{
y
∈
Z
∣
1
≤
y
≤
3
}
B = \{y \in \mathbb Z \mid 1 \le y \le 3\}
B
=
{
y
∈
Z
∣
1
≤
y
≤
3
}
. How many ordered pairs
(
x
,
y
)
∈
A
×
B
(x,y) \in A \times B
(
x
,
y
)
∈
A
×
B
satisfy
x
<
y
x < y
x
<
y
? a)
10
10
10
b)
9
9
9
c)
7
7
7
d)
8
8
8
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