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  text: 'Is this what is meant by transitive and nontransitive set?\n\nTransitive:\n\n$A = \\{ \\{ 1,2 \\}, \\{ 3,4 \\}, 1, 2, 3, 4 \\}$\n\n$x = \\{1,2\\}$\n\n$a = 2$\n\n$a \\in x$, $x \\in A$ and $a \\in A$\n\nNontransitive:\n\n$B = \\{ \\{ 1,2 \\}, \\{ 3,4 \\} \\}$\n\n$y = \\{1,2\\}$\n\n$b = 2$\n\n$b \\in y$, $y \\in B$ but $b \\notin B$',
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