Question 11 Mark
The minimum number of subsets a non-empty set has is 2 __________ .
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Equal sets are always equivalent __________ .
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Two sets A and B are said to be equal if $n(A)=n(B)$ __________ .
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The power set of a set containing 3 elements, has 6 elements __________ .
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$\{x: x+4=4\}$ is a singleton set. __________ .
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Set of all persons on earth is an infinite set __________ .
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Considering the sets given , state whether each of the following statements is true or false :
Let
$\begin{aligned} \xi & =\{x \mid x \in N, x \text { is a factor of } 144\}, \quad A=\{x \mid x \in N, x \text { is a factor of } 24\}, \\ B & =\{x \mid x \in N, x \text { is a factor of } 36\}, \quad C =\{x \mid x \in N, x \text { is a factor of } 48\} .\end{aligned}$
$A \cap C ^{\prime}=\phi$
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Considering the sets given , state whether each of the following statements is true or false :
Let
$\begin{aligned} \xi & =\{x \mid x \in N, x \text { is a factor of } 144\}, \quad A=\{x \mid x \in N, x \text { is a factor of } 24\}, \\ B & =\{x \mid x \in N, x \text { is a factor of } 36\}, \quad C =\{x \mid x \in N, x \text { is a factor of } 48\} .\end{aligned}$
$B \subseteq C$
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Considering the sets given , state whether each of the following statements is true or false :
Let
$\begin{aligned} \xi & =\{x \mid x \in N, x \text { is a factor of } 144\}, \quad A=\{x \mid x \in N, x \text { is a factor of } 24\}, \\ B & =\{x \mid x \in N, x \text { is a factor of } 36\}, \quad C =\{x \mid x \in N, x \text { is a factor of } 48\} .\end{aligned}$
$A \subset C$
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Considering the sets given , state whether each of the following statements is true or false :
Let
$\begin{aligned} \xi & =\{x \mid x \in N, x \text { is a factor of } 144\}, \quad A=\{x \mid x \in N, x \text { is a factor of } 24\}, \\ B & =\{x \mid x \in N, x \text { is a factor of } 36\}, \quad C =\{x \mid x \in N, x \text { is a factor of } 48\} .\end{aligned}$
$A \cap( B \cup C )= A$
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Let A = {1, 2}. State which of the following statements are true: $\{1\} \notin A$
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Let A = {1, 2}. State which of the following statements are true: $\phi \subset A$
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Let A = {1, 2}. State which of the following statements are true: $\phi \in A$
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Let A = {1, 2}. State which of the following statements are true: $1 \in A$
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Let A = {1, 2}. State which of the following statements are true: $\{1\} \in A$
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Let A = {1, 2}. State which of the following statements are true:
$1 \subset A$
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Let A = (all triangles), B = {all isosceles triangles) and C = {all equilateral triangles). State, giving reasons, whether the following statements are true or false :
$C \subset B \subset A$
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Let A = (all triangles), B = {all isosceles triangles) and C = {all equilateral triangles). State, giving reasons, whether the following statements are true or false :
$B \subset C \subset A$
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Let $\xi=\{x: x \in N, x<50\}, A=\left\{x: x^2 \in \xi\right\}, B=\left\{x: x=n^2, n \in N\right\}$ and $C=\{x: x$ is a factor of 36$\}$.List the elements of each of the sets A, B and C. Also, state whether each of the following statements is true or false:
$n(A) < n( C )$
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Let $\xi=\{x: x \in N, x<50\}, A=\left\{x: x^2 \in \xi\right\}, B=\left\{x: x=n^2, n \in N\right\}$ and $C=\{x: x$ is a factor of 36$\}$.List the elements of each of the sets A, B and C. Also, state whether each of the following statements is true or false:
$B \leftrightarrow C$
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Let $\xi=\{x: x \in N, x<50\}, A=\left\{x: x^2 \in \xi\right\}, B=\left\{x: x=n^2, n \in N\right\}$ and $C=\{x: x$ is a factor of 36$\}$.List the elements of each of the sets A, B and C. Also, state whether each of the following statements is true or false:
$A \leftrightarrow B$
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Let $\xi=\{x: x \in N, x<50\}, A=\left\{x: x^2 \in \xi\right\}, B=\left\{x: x=n^2, n \in N\right\}$ and $C=\{x: x$ is a factor of 36$\}$.List the elements of each of the sets A, B and C. Also, state whether each of the following statements is true or false:
$A = B$
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Let $\xi=\{x: x \in N, x<50\}, A=\left\{x: x^2 \in \xi\right\}, B=\left\{x: x=n^2, n \in N\right\}$ and $C=\{x: x$ is a factor of 36$\}$.List the elements of each of the sets A, B and C. Also, state whether each of the following statements is true or false:
$A \subseteq B$
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$\{x \mid x$ is a prime factor of 24$\}=\{2,3,4,6,8,12,24\}$.
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If B is the set of all consonants in English alphabet, then $n(B)=21$.
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If $A =\{x \mid x \in N, 8< x<13\}$ and $B =\{x \mid x \in Z ,-3 \leq x<1\}$, then $n(A)=n(B)$.
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If $A =\{x \mid x$ is a letter of the word, 'MEERUT' $\}$, then $n(A)=6$.
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$\{x \mid x \in N, 3< x \leq 4\}=\phi$.
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$\{x \mid x \in N, x+5=3\}=\phi$.
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If $n(A)=n(B)$, then $A = B$.
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$\{x \mid x \in W, x<0\}=\phi$.
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$\{x \mid x \in W, x+8=8\}$ is a singleton set.
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$\{5,7,9\}=\{9,5,7\}$.
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$\{a, b, c, 1,2,3\}$ is not a set.
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