va rog dau coroana si 50 puncte

Explicație pas cu pas:
[tex]{2}^{x} < 30 \\ {2}^{4} = 16 \: si \: {2}^{5} = 32 \iff {2}^{4} < 30 < {2}^{5} \\ \implies 0 < x \leqslant 4[/tex]
A = {1, 2, 3, 4}
[tex]{x}^{3} < 30 \\ {3}^{3} = 27 \: si \: {4}^{3} = 64 \iff {3}^{3} < 30 < {4}^{3} \\ \implies 0 \leqslant x \leqslant 3[/tex]
B = {0, 1, 2, 3}
[tex]\implies A \cap B = \{1, 2, 3\}[/tex]