Explicație pas cu pas: [tex]\bf \red{\{1,2,3,4\} \longrightarrow Varianta~ corecta ~c)}[/tex]
Mulțimea numerelor naturale nenule este: [tex] \bf \mathbb{N^{ \star} } = \{1,2,3,4,5,... \}[/tex]
[tex]\bf I = \big( - 2, \: 3 \sqrt{2} \big)[/tex]
[tex]\bf \{1,2,3,4,5,... \} \: \cap \: \big( - 2, \: 3 \sqrt{2} \big) = \red{\{1,2,3,4\} } [/tex]
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[tex]\bf 3\sqrt{2}~~~\bigg|^{(2)} = \big(3\sqrt{2}\big)^2 = 3^2\cdot \big(\sqrt{2}\big)^2 = 9\cdot2=18[/tex]
[tex]\bf 4^2 ~<~ \big(3\sqrt{2}\big)^2 ~<~ 5^2[/tex]
[tex]\bf 16 < 18 < 25[/tex]
Varianta corectă c)
==pav38==
