Different Types of Sets

Find the number of subsets of the following set $A=\left\{1,2,3,4,5,6,7,8,9\right\}$.

If the number of elements in a set is $3$, then number of subsets it has:

If set $A=\left\{5,6,7,8\right\}$, then the number of proper subsets is _____.

If set $A=\left\{5,6,7,8\right\}$, then the number of subsets is _____.

Find the number of proper subsets for the given set $A=\left\{5,6,7,8\right\}$.

Find the number of subsets for the given set $A=\left\{5,6,7,8\right\}$.

If set $A$ is empty set then $n\left[P\right[P\left[P\right(A\left)\right]\left]\right]$, where $P\left(A\right)$ is the power set of $A$ is

The set of rational numbers is subset of set of real numbers.

The set of natural number is subset of set of real numbers.

If $S=\left\{\text{square, rectangle, circle, rhombus, triangle}\right\}$, write the number of elements of subset of $S$ which have shape of $3$ sides.

Write the name of the element from $S=\left\{\text{ square, rectangle, circle, rhombus, triangle }\right\}$, which have radius.

Are the two sets $C=\left\{2,3,4,5\right\}$, $D=\left\{x:x\in \mathbb{W},1<x<5\right\}$  equivalent sets or unequal sets or equal sets?

Which of the following is a null set?

If $A\cap B=B,$ then

Let $\mathrm{A}=\{\mathrm{x}:\mathrm{x}\in \mathrm{R},-1\le \mathrm{x}\le 1\}$ and $\mathrm{B}=\{\mathrm{x}:\mathrm{x}\in \mathrm{R}, |\mathrm{x}|\le 1\}$, then

If $\mathrm{A}\not\subset \mathrm{B}$ and $\mathrm{B}\not\subset \mathrm{C}$, then $\mathrm{A}\not\subset \mathrm{C}$.

If $x\in A$ and $A\subset B$, then $x\in B$.

Set of all whole numbers less than $10$ is an infinite set.

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.