R^2/Subsets/Sketch/Exercise

Sketch the following subsets of ${}\mathbb {R} ^{2}$.

1. ${}{\left\{(x,y)\mid x=5\right\}}$,
2. ${}{\left\{(x,y)\mid x\geq 4{\text{ and }}y=3\right\}}$,
3. ${}{\left\{(x,y)\mid y^{2}\geq 2\right\}}$,
4. ${}{\left\{(x,y)\mid \vert {x}\vert =3{\text{ and }}\vert {y}\vert \leq 2\right\}}$,
5. ${}{\left\{(x,y)\mid 3x\geq y{\text{ and }}5x\leq 2y\right\}}$,
6. ${}{\left\{(x,y)\mid xy=0\right\}}$,
7. ${}{\left\{(x,y)\mid xy=1\right\}}$,
8. ${}{\left\{(x,y)\mid xy\geq 1{\text{ and }}y\geq x^{3}\right\}}$,
9. ${}{\left\{(x,y)\mid 0=0\right\}}$,
10. ${}{\left\{(x,y)\mid 0=1\right\}}$.

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