Let $A=\{1,2,\{3,4\}, 5\} .$ Which of the following statements are incorrect and why ?

$\{1,2,3\}\subset A$

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$A=\{1,2,\{3,4\}, 5\}$

The statement $\{1,2,5\}\subset A$ is incorrect because $3 \in\{1,2,3\}$; however, $3 \notin A$.

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  • [KVPY 2013]

Write the set $\left\{\frac{1}{2}, \frac{2}{3}, \frac{3}{4}, \frac{4}{5}, \frac{5}{6}, \frac{6}{7}\right\}$ in the set-builder form.