Question

Classifique as afirmações em verdadeira ou falsa. (a) −2 ∈ N (b) 0 ∈ N (c) 100 ∈ Z (d) N ⊂ Z ∗ (e) Z+ = N (f) Z− ∩ Z+ = ∅ Relacione os conjuntos presentes nos itens de a à f: (a) {x ∈ N | x < 3} (b) {x ∈ Z | x ≥ −2} (c) {x ∈ N | x ≤ 1} (d) {x ∈ Z | −2 < x ≤ 3} (e) {x ∈ N | x < 0} (f) {x ∈ Z | x < 0} com os conjuntos presentes nos itens de i a vi. (i) {0,1} (ii) ∅ (iii) {. . . , −3, −2, −1} (iv) {−2, −1, 0, 1, . . .} (v) {0,1,2} (vi) {−1, 0, 1, 2, 3} Determine a qual conjunto, N, Z ou Q, pertencem os números que constam em cada imagem. (a) −3 (b) 8 (c) −50,82 (d) 1/2

Answer 1

$\boxed{\begin{array}{c}\sf{Classifique~as~afirmac_{\!\!,}\tilde{o}es~em~verdadeiras~ou~falsas.}\end{array}}$

$\tt{a)}~\sf{-2\in\mathbb{N}\implies~F}\\\tt{b)}~\sf{0\in\mathbb{N}\implies~V}\\\tt{c)}~\sf{\mathbb{N}\subset\mathbb{Z}\implies~V}\\\tt{e)}~\sf{\mathbb{Z_+}=N\implies~V}\\\tt{f)}~\sf{\mathbb{Z^{-}}\cap\mathbb{Z^{+}}=\varnothing\implies~V}$

$\boxed{\begin{array}{c}\sf{Relacione~ ~os ~conjuntos}\\\sf{presentes~nos~itens~de~a~\grave{a}~ </p><p>f}\\\sf{com~os~conjuntos~presentes~nos~itens~de~i ~a ~vi}\end{array}}$

$\tt{a)}\sf{x\in\mathbb{N}/x\textless3\implies (0,1,2)~a=v}\\\tt{b)}~\sf{x\in\mathbb{Z}/x\geq-2\implies(-2,-1,0...)~b=iv}\\\tt{c)}~\sf{x\in\mathbb{N}/x\leq1\implies(0,1)~c=i}\\\tt{d)}~\sf{x\in\mathbb{Z}/-2\textless x\leq3\implies (-1,0,1,2,3)~d=vi}\\\tt{e)}~\sf{x\in\mathbb{N}/x\textless0\implies\varnothing~e=ii}\\\tt{f)}~\sf{x\in\mathbb{Z}/z\textless0\implies(.. -3,-2,-1)~f=iii}$

$\boxed{\begin{array}{c}\sf{Determine~a~qual ~conjunto,\mathbb{N},\mathbb{Z} ~ou~\mathbb{Q} </p><p>, pertencem}\\\sf{os~n\acute{u}meros~que ~constam}\\\sf{em~cada~imagem.}\end{array}}$

$\rm{a)}~\sf{-3\in\mathbb{Z}~-3\in\mathbb{Q}}\\\rm{b)}~\sf{8\in\mathbb{N}~8\in\mathbb{Z}~8\in\mathbb{Q}}\\\rm{c)}~\sf{-50,82\in\mathbb{Q}}\\\rm{d)}~\sf{\dfrac{1}{2}\in\mathbb{Q}}$