Question

Determinati numarul elementrlor multimii M={ n ∈ Ζ | n²< 7+√7 }

Answer 1

Răspuns:

M = {-3; -2; -1; 0; 1; 2; 3}

Explicație pas cu pas:

$\sqrt{4} < \sqrt{7} < \sqrt{9} \\ 2 < \sqrt{7} < 3 \\ 7 + 2 < 7 + \sqrt{7} < 7 + 3 \\ 9 < 7 + \sqrt{7} < 10 \\ \implies {n}^{2} \leqslant 9 \iff - 3 \leqslant n \leqslant 3$

M = {-3; -2; -1; 0; 1; 2; 3}