Draw the Venn diagram of ${\left(A\cap B\right)}^{\text{'}}$.

(i) $\left(-\infty ,6\right)$

(ii) $\left[-9,4\right)$

(i) $\left\{1,2\right\}\in A$

(ii) $\left\{1,2,7\right\}\subset A$

(iii) $\left\{5,6\right\}\subset A$

(iv) $\left\{\varphi \right\}\subset A$

From the given Venn diagram, determine the following sets.

(i) $A\cup B$

(ii) $A\cap B$

(iii) $A-B$

(iv) $\left(A\cap B\right)\text{'}$

(i) {$x:x\in N$ and $\left(x-3\right)\left(x-4\right)=0$}

(ii) {$x:x\in N$ and $x$ is a prime number}

(iii) {$x:x\in N$ and $x^2<0$}

(iv) {$x:x\in N$ and $3x^2-27=0$}

The universal set $U=$ {$x:x$ is a letter in 'AN EXCELLENT BOOK'}

$P=$ {$x:x$ is a letter in word 'TALENT'}

$Q=$ {$x:x$ is a letter in the word 'BANANA'}
Draw the Venn diagram and find the following:

(i) $P\cup Q$

(ii) ${\left(P\cap Q\right)}^{\text{'}}$