Question 12 Marks
Let $A=\{b, c, d, e\}$ and $B=\{d, e, f, g\}$ be two subsets of the universal set $\xi=\{b, c, d$, $e, f, g\}$. Then, verify the following :
$( A \cap B )^{\prime}=\left( A ^{\prime} \cup B ^{\prime}\right)$
View full question & answer→Question 22 Marks
Let $A=\{b, c, d, e\}$ and $B=\{d, e, f, g\}$ be two subsets of the universal set $\xi=\{b, c, d$, $e, f, g\}$. Then, verify the following :
$( A \cup B )^{\prime}=\left( A ^{\prime} \cap B ^{\prime}\right)$
View full question & answer→Question 32 Marks
Let $A=\{a, b, c, d, e\}, B=\{a, c, e, g\}$ and $C=\{b, e, f, g\}$. Then verify the following identities :
$A \cap( B \cup C )=( A \cap B$ ) $\cup(A \cap C)$
View full question & answer→Question 42 Marks
Let $A=\{a, b, c, d, e\}, B=\{a, c, e, g\}$ and $C=\{b, e, f, g\}$. Then verify the following identities :
$A \cup( B \cap C )=( A \cup B$ ) $\cap(A \cup C)$
View full question & answer→Question 52 Marks
Let $A=\{a, b, c, d, e\}, B=\{a, c, e, g\}$ and $C=\{b, e, f, g\}$. Then verify the following identities :
$A \cap( B \cap C )=( A \cap B$ ) $\cap C$
View full question & answer→Question 62 Marks
Let $A=\{a, b, c, d, e\}, B=\{a, c, e, g\}$ and $C=\{b, e, f, g\}$. Then verify the following identities :
$A \cup( B \cup C )=( A \cup B$ ) $\cup C$
View full question & answer→Question 72 Marks
Let $A=\{a, b, c, d, e\}, B=\{a, c, e, g\}$ and $C=\{b, e, f, g\}$. Then verify the following identities :
$B \cap C = C \cap B$
View full question & answer→Question 82 Marks
Let $A=\{a, b, c, d, e\}, B=\{a, c, e, g\}$ and $C=\{b, e, f, g\}$. Then verify the following identities :
$B \cup C = C \cup B$
View full question & answer→Question 92 Marks
Let $\xi=\{x \mid x \in N, 4 \leq x<18\}$ and $A, B, C$ be subsets of $\xi$ given by $A=\{x \mid x$ is a multiple of 2$\}$, $B=\{x \mid x$ is a multiple of 3$\}$ and $C=\{x \mid x \in N, x<11\}$. Then, verify the following :
$A \cup( B \cap C )=( A \cup B ) \cap( A \cup C )$
View full question & answer→Question 102 Marks
Let $\xi=\{x \mid x \in N, 4 \leq x<18\}$ and $A, B, C$ be subsets of $\xi$ given by $A=\{x \mid x$ is a multiple of 2$\}$, $B=\{x \mid x$ is a multiple of 3$\}$ and $C=\{x \mid x \in N, x<11\}$. Then, verify the following :
$A - B = A \cap B ^{\prime}$
View full question & answer→Question 112 Marks
Let $\xi=\{x \mid x \in N, 4 \leq x<18\}$ and $A, B, C$ be subsets of $\xi$ given by $A=\{x \mid x$ is a multiple of 2$\}$, $B=\{x \mid x$ is a multiple of 3$\}$ and $C=\{x \mid x \in N, x<11\}$. Then, verify the following :
$( A \cap B )^{\prime}=\left( A ^{\prime} \cup B ^{\prime}\right)$
View full question & answer→Question 122 Marks
Let $\xi=\{x \mid x \in N, 4 \leq x<18\}$ and $A, B, C$ be subsets of $\xi$ given by $A=\{x \mid x$ is a multiple of 2$\}$, $B=\{x \mid x$ is a multiple of 3$\}$ and $C=\{x \mid x \in N, x<11\}$. Then, verify the following :
$( A \cup B )^{\prime}=\left( A ^{\prime} \cap B ^{\prime}\right)$
View full question & answer→Question 132 Marks
Find all possible subset of set :$C =\{0,1,2\}$
Answer$\phi,\{0\},\{1\},\{2\},\{0,1\},\{1,2\},\{0,2\},\{0,1,2\}$
View full question & answer→Question 142 Marks
Find all possible subset of set :$B =\{2,3,8\}$
Answer$\phi,\{2\},\{3\},\{8\},\{2,3\},\{3,8\},\{2,8\},\{2,3,8\}$
View full question & answer→Question 152 Marks
Find all possible subset of set :$A =\{4,9\}$
Answer$\phi,\{4\},\{9\},\{4,9\}$
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Let $A$ be the set of letter in the word, 'seed'. Find : number of proper subsets of A.
View full question & answer→Question 172 Marks
Let $A$ be the set of letter in the word, 'seed'. Find : number of subsets of A.
View full question & answer→Question 182 Marks
Let $A$ be the set of letter in the word, 'seed'. Find : $n(A)$
View full question & answer→Question 192 Marks
Let $A$ be the set of letter in the word, 'seed'. Find : A
View full question & answer→Question 202 Marks
Find the power set of the set :$C =\{2,4,6\}$
Answer$P ( C )=\{\phi,\{2\},\{4\},\{6\},\{2,4\},\{4,6\},\{2,6\},\{2,4,6\}\}$
View full question & answer→Question 212 Marks
Find the power set of the set :$B =\{7,9\}$
Answer$P ( B )=\{\phi,\{7\},\{9\},\{7,9\}\}$
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Find the power set of the set :$A =\{0,5\}$
Answer$P ( A )=\{\phi,\{0\},\{5\},\{0,5\}\}$
View full question & answer→Question 232 Marks
Describe the set in roster form :
$J =\left\{x \left\lvert\, x=\frac{1}{n}\right., n \in N\right.$ and $\left.n \leq 5\right\}$.
Answer$J =\left\{1, \frac{1}{2}, \frac{1}{3}, \frac{1}{4}, \frac{1}{5}\right\}$
View full question & answer→Question 242 Marks
Describe the set in roster form :
$I =\{x \mid x \in N, x$ is divisible both by 4 and 6 and $x \leq 60\}$.
Answer$I =\{12,24,36,48,60\}$
View full question & answer→Question 252 Marks
Describe the set in roster form :
$H =\{x \mid x$ is a two-digit number, the sum of whose digits is 8$\}$.
Answer$H =\{17,26,35,44,71,62,53,80\}$
View full question & answer→Question 262 Marks
Describe the set in roster form :
$G =\left\{x \left\lvert\, x=\frac{n}{(n+3)}\right., n \in N\right.$ and $\left.n \leq 5\right\}$.
Answer$G =\left\{\frac{1}{4}, \frac{2}{5}, \frac{3}{6}, \frac{4}{7}, \frac{5}{8}\right\}$
View full question & answer→Question 272 Marks
Describe the set in roster form :
$L =\{x \mid x$ is a letter of the word 'careless' $\}$.
Answer$L =\{c, a, r, e, l, s\}$
View full question & answer→Question 282 Marks
Describe the set in roster form :
$F =\left\{x \mid x=n^2, n \in N, 2 \leq n \leq 5\right\}$.
View full question & answer→Question 292 Marks
Describe the set in roster form :
$E =\{x \mid x=(2 n+1), n \in W, n \leq 4\}$.
View full question & answer→Question 302 Marks
Describe the set in roster form :
$C =\{x \mid x$ is a factor of 32 $\}$.
Answer$C =\{1,2,4,8,16,32\}$
View full question & answer→Question 312 Marks
Describe the set in roster form :
$B =\{x \mid x \in W, x \leq 6\}$.
Answer$B =\{0,1,2,3,4,5,6\}$
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