Basics of Sets

If $\mathrm{A}=\{1, 2, 3, 4, 5, 6, 7\}$, then the number of proper subsets of $\mathrm{A}$ is

Let $\mathrm{U}$ be the Universal Set, $\mathrm{A}$ be any finite set then $\left(\mathrm{A}\cap \mathrm{U}\right)=$

Write the reason why it is not possible to list all the members of given set.

$B=\left\{x:x^3 \text{is negative}\right\}$

Write the elements present in the given set:

$\left\{x:x \text{is a multiple of} 3,16<x<32\right\}$

Write the reason why it is not possible to list all the members of given set.

$\mathrm{A}=\left\{\mathrm{x},\mathrm{y}:\mathrm{y}=2\mathrm{x}+4\right\}$

Write the members present in the given set

$\left\{x:x \text{is a regular polygon and} x \text{has no more than six sides}\right\}$

Can the order of listing the elements of a set be changed. Write yes or no in the space given:_____.

State the set as finite or infinite, $\{ x: x$ is a whole number less than $20$ $\}$

State whether the set $\{ x:x$ is an integer between $-60$ and $60$ $\}$ is finite or infinite.

State the set, $\{$ Number of people in India$\}$ as finite or infinite.

Classify the set $\{\text{Diagonals of a hexagon} \mathrm{ABCDE}\}$ as finite, infinite, empty, and singleton.

Identify the Set of all multiples of $10$ as finite or infinite set.