Good evening,
Exercise
Set $B=\left\{(x,y)\in\mathbb{R}^2\mid x^2+y^2-2y≤0\right\}$.
1) Using the definition of a convex set, study the convexity of $B$.
2) Graphically represent $B$.
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1What have you done already? Where do you encounter difficulties? – MasB Aug 04 '18 at 18:55
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my problem is question 2. how to graph B? – CMZL Aug 04 '18 at 19:00
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1Hint: Observe that $$x^2+y^2-2y\le 0\quad\iff\quad x^2+y^2-2y+1\le 1\quad\iff\quad x^2+(y-1)^2\le 1$$ – Ángel Mario Gallegos Aug 04 '18 at 19:04
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OKAY. Thank you very much for the help. good night – CMZL Aug 04 '18 at 21:55