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Elementele multimi A=(x€N*|2x+3<9 Sunt:

Răspuns :

x e N = 2x+3<9/-3
=2x<6/:3
x={1,2}
[tex]A = \left\{x\:\in\:\mathbb{{N}^{*}} \: | \: 2x + 3 < 9 \right\}[/tex]

[tex]2x + 3 < 9[/tex]

[tex]2x < 9 - 3[/tex]

[tex]2x < 6 \: | \div 2[/tex]

[tex]x < 3 = ( - \infty ,3)[/tex]

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

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