What universal set $(s)$ would you propose for each of the following :

The set of right triangles

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For the set of right triangles, the universal set can be the set of triangles or the set of polygons.

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Two finite sets have $m$ and $n$ elements. The total number of subsets of the first set is $56$ more than the total number of subsets of the second set. The values of $m$ and $n$ are

Which of the following are sets ? Justify your answer.

The collection of all natural numbers less than $100 .$

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

$\{\varnothing\} \subset A$

What universal set $(s)$ would you propose for each of the following :

The set of isosceles triangles

From the sets given below, select equal sets:

$A=\{2,4,8,12\}, B=\{1,2,3,4\}, C=\{4,8,12,14\}, D=\{3,1,4,2\}$

$E=\{-1,1\}, F=\{0, a\}, G=\{1,-1\}, H=\{0,1\}$