Ensino Médio ⇒ Teoria dos conjuntos: Operações com conjuntos

[MED10]

Com base na relação entre conjuntos numéricos, complete de modo a obter proposições verdadeiras:

[tex3]a)~\mathbb{Q^\ast}~\cap~(\mathbb{R\mid\mathbb{R^{-}}})=\\\\b)~(\mathbb{R}\mid\mathbb{R}^{-}_{0})~\cap~\mathbb{Z^{+}_{0}}=\\\\c)~(\mathbb{R\mid\mathbb{R^{+}}})~\cap~\mathbb{Z}^{-}_{0}=\\\\d)~\mathbb{Q}^{-}_{0}~\cap~\mathbb{R^{+}_{0}}=\\\\e)~(\mathbb{Z~\cup~\mathbb{Z^{+}}})\mid(\mathbb{N~\cap~\mathbb{Q}})=\\\\f)~(\mathbb{Q}~\cup~\mathbb{Q^{-}})\mid(\mathbb{Z}~\cap~\mathbb{R})=\\\\g)~(\mathbb{Z}~\cup~\mathbb{N})\mid(\mathbb{Q^{-}}~\cap~\mathbb{Z})=\\\\h)~(\mathbb{Z^{+}}~\cup~\mathbb{Z})\mid(\mathbb{N}~\cap~\mathbb{R}^{-}_{0})=[/tex3]

Código: Selecionar tudoSHIFT+Click na eq = ZOOM

[tex3]a)~\mathbb{Q^\ast}~\cap~(\mathbb{R\mid\mathbb{R^{-}}})=\\\\b)~(\mathbb{R}\mid\mathbb{R}^{-}_{0})~\cap~\mathbb{Z^{+}_{0}}=\\\\c)~(\mathbb{R\mid\mathbb{R^{+}}})~\cap~\mathbb{Z}^{-}_{0}=\\\\d)~\mathbb{Q}^{-}_{0}~\cap~\mathbb{R^{+}_{0}}=\\\\e)~(\mathbb{Z~\cup~\mathbb{Z^{+}}})\mid(\mathbb{N~\cap~\mathbb{Q}})=\\\\f)~(\mathbb{Q}~\cup~\mathbb{Q^{-}})\mid(\mathbb{Z}~\cap~\mathbb{R})=\\\\g)~(\mathbb{Z}~\cup~\mathbb{N})\mid(\mathbb{Q^{-}}~\cap~\mathbb{Z})=\\\\h)~(\mathbb{Z^{+}}~\cup~\mathbb{Z})\mid(\mathbb{N}~\cap~\mathbb{R}^{-}_{0})=[/tex3]