Răspuns: Ai mai jos rezolvarea
Explicație pas cu pas:
Bună !
[tex]\bf (a)~\left.\begin{matrix}\bf x\geq -2\Rightarrow x \in\big\{-2,-1,0,1,..\big\} \\\\ \bf x<3 \Rightarrow x \in \big\{.......,-1,0,1,2\big\} \end{matrix}\right\} \Rightarrow \purple{\boxed{\bf x \in \big\{-2,-1,0,1,2 \big\}}}[/tex]
[tex]\it~~[/tex]
[tex]\bf (b)~ \left.\begin{matrix}\bf x< -1\Rightarrow x \in\big\{....-4,-3-2\big\} \\\\ \bf x>-5 \Rightarrow x \in \big\{-4,-3,-2,...\big\} \end{matrix}\right\} \Rightarrow \red{\boxed{\bf x \in \big\{-4,-3,-2 \big\}}}[/tex]
[tex]\it~~[/tex]
[tex]\bf (c)~-4\leq x<0 \Rightarrow \pink{\boxed{\bf x \in \big\{-4,-3,-2,-1 \big\}}}[/tex]
[tex]\it~~[/tex]
(d) Nu se vede bine după ≤ ce cifră este în cerință (pare a fi cifra 3 după ≤ ). Voi rezolva | x - 1 | ≤ 3
Cazul 1
[tex]\bf \left.\begin{matrix}\bf x-1\leq 3\Rightarrow x\leq 4\Rightarrow x \in\big\{..,2,3,4\big\}\\\\\bf x-1\geq 0 \Rightarrow x\geq 1\Rightarrow x \in \big\{1,2,3,...\big\} \end{matrix}\right\} \Rightarrow \blue{\underline{x \in \big\{1,2,3,4 \big\}}}[/tex]
Cazul 2
[tex]\bf \left.\begin{matrix}\bf -(x-1)\leq 3\Rightarrow x\geq -2\Rightarrow x \in\big\{-2,-1,0,..\big\}\\\\\bf x-1< 0 \Rightarrow x<1 \Rightarrow x \in \big\{..,-3,-2,1,0\big\} \end{matrix}\right\} \Rightarrow \green{\underline{x \in \big\{-2,-1,0 \big\}}}[/tex]
[tex]\bf {\big\{1,2,3,4\big\}\cup\big\{-2,-1,0\big\} \Rightarrow\red{\boxed{\bf x \in\big\{-2,-1,0,2,3,4\big\} }}}[/tex]
P.S.: Dacă ești pe telefon te rog să glisezi spre stânga pentru a vedea întreaga rezolvare.
Baftă multă !
