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Different subsets in R^2/Sketch/4/Exercise
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Sketch the following subsets in
R
2
{\displaystyle {}\mathbb {R} ^{2}}
.
{
(
x
,
y
)
∣
2
x
=
5
and
y
≥
3
}
{\displaystyle {}{\left\{(x,y)\mid 2x=5{\text{ and }}y\geq 3\right\}}}
,
{
(
x
,
y
)
∣
−
3
x
≥
2
y
and
4
x
≤
−
5
y
}
{\displaystyle {}{\left\{(x,y)\mid -3x\geq 2y{\text{ and }}4x\leq -5y\right\}}}
,
{
(
x
,
y
)
∣
y
2
−
y
+
1
≤
4
}
{\displaystyle {}{\left\{(x,y)\mid y^{2}-y+1\leq 4\right\}}}
,
{
(
x
,
y
)
∣
x
y
=
0
}
{\displaystyle {}{\left\{(x,y)\mid xy=0\right\}}}
.
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