Question

va rog
dau coroana
VA ROG​

Answer 1

Răspuns:

Explicație pas cu pas:

$A=\left\{x\in\mathbb{N}^{\star}|{x}^{2}\leq25\right\}\\{x}^{2}\leq25,\:iar\:x\in\mathbb{N}^{\star}\implies {x}^{2}\in\left\{1;4;9;16;25\right\}\implies x\in\left\{1;2;3;4;5\right\}\implies \\A=\left\{1;2;3;4;5\right\}\\B=\left\{x\in\mathbb{N}^{\star}|{x}^{3}\leq27\right\}\\{x}^{3}\leq27,\:iar\:x\in\mathbb{N}^{\star}\implies\:{x}^{3}\in\left\{1;8;27\right\}\implies x\in\left\{1;2;3\right\}\implies\\B=\left\{1;2;3\right\}$

$A\cup B=\left\{1;2;3;4;5\right\}\\A\cap B=\left\{1;2;3\right\}\\A\setminus B=\left\{4;5\right\}\\B\setminus A=\varnothing$