V K Raman and S N Sharma Solutions for Exercise 4: MASTERY TEST-1

Given: $A=\left\{1, 2, 3, 4\right\}, B=\left\{3, 4, 5, 6\right\}$ and $C=\left\{2+1, 2+2, 2+3, 2+4\right\}.$

$A=B$

Given: $A=\left\{1, 2, 3, 4\right\}, B=\left\{3, 4, 5, 6\right\}$ and $C=\left\{2+1, 2+2, 2+3, 2+4\right\}.$

$A\leftrightarrow B$

Given: $A=\left\{1, 2, 3, 4\right\}, B=\left\{3, 4, 5, 6\right\}$ and $C=\left\{2+1, 2+2, 2+3, 2+4\right\}.$

$B=C$

Given: $A=\left\{1, 2, 3, 4\right\}, B=\left\{3, 4, 5, 6\right\}$ and $C=\left\{2+1, 2+2, 2+3, 2+4\right\}.$

$B\leftrightarrow C$

Given $A=\{$Natural Numbers less than $7\}$, $B=\{$Whole numbers less than $7\}$, $C=\left\{4, 5, 6\right\}$ and $D=\{x | x=n, n<4$ and $n\in N\}$. State whether 'True' or 'False'.

$A\subset B$

Given $A=\{$Natural Numbers less than $7\}$, $B=\{$Whole numbers less than $7\}$, $C=\left\{4, 5, 6\right\}$ and $D=\{x | x=n, n<4$ and $n\in N\}$. State whether 'True' or 'False'.

$C\subset B$

Given $A=\{$Natural Numbers less than $7\}$, $B=\{$Whole numbers less than $7\}$, $C=\left\{4, 5, 6\right\}$ and $D=\{x | x=n, n<4$ and $n\in N\}$. State whether 'True' or 'False'.

$A\supset D$

Given $A=\{$Natural Numbers less than $7\}$, $B=\{$Whole numbers less than $7\}$, $C=\left\{4, 5, 6\right\}$ and $D=\{x | x=n, n<4$ and $n\in N\}$. State whether 'True' or 'False'.

$B\supset D$