Set Operations

If $A=\left\{2, 3\right\}$ and $C=\left\{\right\}$, find $A\cap C$.

Let $A=\{x:x$ is an even natural number and $1<x\le 12\}$ and $B=\{x:x$ is a multiple of $3, x\in \mathrm{\mathbb{N}}$ and $x\le 12\}$ be two sets. Find $A\cap B$.

If $A=\left\{6, 7, 8, 9\right\}$ and $B=\left\{8, 10, 12\right\}$, find $A∆B$.

If $A=\left\{-3, -2, 1, 4\right\}$ and $B=\left\{0, 1, 2, 4\right\}$, find

$B-A$

If $A=\left\{-3, -2, 1, 4\right\}$ and $B=\left\{0, 1, 2, 4\right\}$, find $A-B$

If $P=\left\{m, n\right\}$ and $Q=\left\{m, i, j\right\}$, then, represent $P$ and $Q$ in Venn diagram and hence find $P\cup Q$.

Using the set symbols, write down the expressions for the shaded region. 

Using the set symbols, write down the expressions for the shaded region.

Using the set symbols, write down the expressions for the shaded region.

What is $(A-B)\cap (B-A)$?

The shaded region in the Venn diagram is

If $J=$ Set of three sided shapes, $K=$ Set of shapes with two equal sides and $L=$Set of shapes with right angle, then $J\cap K\cap L$ is

For any three sets $A, B$ and $C, (A-B)\cap (B-C)$ is equal to

Which of the following is true?

If $A=\{\varnothing \}$ and $B=P\left(A\right)$, then $A\cap B$ is 

If $B-A$ is $B$, then $A\cap B$ is 

If $A\cup B=A\cap B$, then

If $B\subseteq A$, then $n(A\cap B)$ is

If $U=\{x\mid x\in \mathrm{\mathbb{N}}, x<10\}$ and $A=\{x\mid x\in \mathrm{\mathbb{N}}, 2\le x<6\}$, then ${\left(A^{\text{'}}\right)}^{\text{'}}$ is

Let $A$ and $B$ be two overlapping sets and the universal set be U. What do you observe from the Venn diagram of ${\left(A\cap B\right)}^{\text{'}}$ and $A^{\text{'}}\cup B^{\text{'}}$?