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Daca A={x ∈ N | x divide -6} si B={x ∈ N | x<10 si x este divizibil cu 3} atunci A\B=?


Răspuns :

Abc112
[tex]A = \left \{ x\:\in\:\mathbb{N}\:| \:x\:|-6\right \}[/tex]

[tex]B=\left \{ x\:\in\:\mathbb{N}\:| \:x<10\: \: si \: \:x \: \:\vdots\: \: 3\right \}[/tex]

[tex]D_{-6}=\left \{ \pm1,\pm2,\pm3,\pm6 \right \}[/tex]

[tex]x \: \in \: \mathbb{N} = > x \: \in \: \left \{ 1,2,3,6 \right \}[/tex]

[tex] = > A=\left \{ 1,2,3,6 \right \}[/tex]

[tex]M_{3} < 10=\left \{ \pm3,\pm6 ,\pm9\right \}[/tex]

[tex]x \: \in \: \mathbb{N} = > x \: \in \: \left \{ 3,6 ,9\right \}[/tex]

[tex] = > B=\left \{ 3,6 ,9\right \}[/tex]

[tex]A\setminus B=\left \{ 1,2 \right \}[/tex]