QUESTION

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1.2.2. Find the complement $C^{c}$ of the set $C$ with respect to the space $\mathcal{C}$ if (a) $\mathcal{C}=\{x: 0<x<1\}, C=\left\{x: \frac{5}{8}<x<1\right\}$. (b) $\mathcal{C}=\left\{(x, y, z): x^{2}+y^{2}+z^{2} \leq 1\right\}, C=\left\{(x, y, z): x^{2}+y^{2}+z^{2}=1\right\}$. (c) $\mathcal{C}=\{(x, y):|x|+|y| \leq 2\}, C=\left\{(x, y): x^{2}+y^{2}<2\right\}$.

Public Answer

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