Show that A=B A = {1,2,3} B ={n|n∈Z+ and n^2<10}

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Let $A =\{1,2,3\}$ and $B =\{ n\in \mathbb Z_+\ |\ n^2<10\}$ .

Let us solve the inequality $n^2<10$ for $n\in \mathbb Z_+$ . It followst that $|n|<\sqrt{10}$ and therefore, $n\in(-\sqrt{10},\sqrt{10})\cap\mathbb Z_+=\{1,2,3\}.$ It follows that $A=B.$

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Question ID: mtid-5-stid-8-sqid-3465-qpid-2164