Set difference of relations — $R_1 \setminus R_2$ = elements in $R_1$ not in $R_2$ Previous Year Questions | Prasnya
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Set difference of...
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Q1
Consider a set
S
=
{
a
∣
a
∈
N
,
a
≤
10
}
S = \{a \mid a \in \mathbb{N},\, a \leq 10\}
. Let
R
1
R_1
and
R
2
R_2
be relations on
S
×
S
S \times S
defined as
R
1
=
{
(
x
,
y
)
∣
x
,
y
∈
S
,
y
=
3
x
}
R_1 = \{(x, y) \mid x, y \in S,\, y = 3x\}
and
R
2
=
{
(
x
,
y
)
∣
x
,
y
∈
S
,
y
=
x
2
}
R_2 = \{(x, y) \mid x, y \in S,\, y = x^2\}
. Find the cardinality of
R
1
∖
R
2
R_1 \setminus R_2
.
Integer answer
OCTOBER 26, 2025
OCTOBER 26, 2025
