Răspuns:
Explicație pas cu pas:
[tex]\bf x^{2} \leq 25\Rightarrow x^{2} \leq 5^{2} \Rightarrow x \leq 5[/tex]
[tex]\bf dar ~x \in\mathbb{N^{\star}} \Rightarrow x \in \{1,2,3,4,5\}[/tex]
[tex]\green{\bf A =\{1,2,3,4,5\}}[/tex]
[tex]\bf x^{3} \leq 27\Rightarrow x^{3} \leq 3^{3} \Rightarrow x \leq 3[/tex]
[tex]\bf dar ~x \in\mathbb{N^{\star}} \Rightarrow x \in \{1,2,3\}[/tex]
[tex]\blue{\bf B= \{1,2,3\}}[/tex]
[tex]\bf \red{A \cup B}=\{1,2,3,4,5\}\cup\{1,2,3\}=\red{\{1,2,3,4,5\}}[/tex]
[tex]\bf \red{A \cap B}=\{1,2,3,4,5\} \cap\{1,2,3\}=\red{\{1,2,3\}}[/tex]
[tex]\bf \red{A \setminus B}=\{1,2,3,4,5\} \setminus \{1,2,3\}=\red{\{4,5\}}[/tex]
[tex]\bf \red{B \setminus A}=\{1,2,3\} \setminus \{1,2,3,4,5\}=\red{\{\varnothing\}}[/tex]
[tex]==pav38==[/tex]
