[tex]|x+1| > 2[/tex]
I.
[tex]x + 1 > 2[/tex]
[tex]x > 2 - 1[/tex]
[tex]\implies x > 1[/tex]
[tex]x \in \mathbb{Z} \implies S = \{2;3;4;...\}\\[/tex]
II.
[tex]x + 1 < - 2[/tex]
[tex]x < - 2 - 1[/tex]
[tex]\implies x < - 3[/tex]
[tex]x \in \mathbb{Z} \implies S = \{...;-6;-5;-4\}\\[/tex]
soluția finală este:
[tex]S = \{...;-6;-5;-4\} \cup \{2;3;4;...\}\\[/tex]
care se mai poate scrie:
[tex]\boldsymbol{S = \mathbb{Z} \setminus \{-3;-2;-1;0;1\}}\\[/tex]
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[tex]|x+1| > 2[/tex]
I.
[tex]x + 1 > 2[/tex]
[tex]x > 2 - 1[/tex]
[tex]\implies x > 1[/tex]
[tex]x \in \mathbb{Z} \implies S = \{2;3;4;...\}\\[/tex]
II.
[tex]x + 1 < - 2[/tex]
[tex]x < - 2 - 1[/tex]
[tex]\implies x < - 3[/tex]
[tex]x \in \mathbb{Z} \implies S = \{...;-6;-5;-4\}\\[/tex]
soluția finală este:
[tex]S = \{...;-6;-5;-4\} \cup \{2;3;4;...\}\\[/tex]
care se mai poate scrie:
[tex]\boldsymbol{S = \mathbb{Z} \setminus \{-3;-2;-1;0;1\}}\\[/tex]