Sets

The collection of all clever students in a class

The collection of all vowels in the English alphabet

The collection of all talented writers of India

The collection of most dangerous animals in the world

{-3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7}

{-2, -1, 0, 1, 2, 3, 4, 5, 6}

{-3, -2, -1, 0, 1, 2, 3, 4, 5, 6}

{-2, -1, 0, 1, 2, 3, 4, 5, 6, 7}

{x : x^2 - 2 = 0 \text{ and } x \text{ is rational}}

{x : x^2 = 4 \text{ and } x \text{ is even}}

{x : x \text{ is a prime number and } x > 2}

{x : x \text{ is a natural number and } x < 2}

The set of all lines parallel to the x-axis

The set of numbers which are multiples of 5

The set of animals living on the earth

The set of all prime numbers

{3, 4}

{1, 2, 3, 4, 5, 6}

{1, 2}

{5, 6}

{a, b, c, d, e}

{a, e}

{b, c, d}

{a, b, c, d}

{2, 4, 6, 8}

{1, 3, 5, 7, 9}

{1, 2, 3, 4, 5, 6, 7, 8, 9}

{}

$n$

$2^n$

$2^n - 1$

$n^2$

{\emptyset, {1}, {2}, {3}, {1, 2}, {1, 3}, {2, 3}, {1, 2, 3}}

{{1}, {2}, {3}, {1, 2, 3}}

{\emptyset, {1, 2, 3}}

{1, 2, 3, {1, 2}, {2, 3}, {1, 3}}

$B$

$A$

$\emptyset$

$A \cup B$

$B - A$

$A \cap B'$

$A' \cap B$

$A' \cup B'$

{2, 4}

{1, 3}

{6, 8}

{1, 2, 3, 4, 6, 8}

$A$

$B$

$\emptyset$

$U$

10

20

50

30

$(A \cup B)' = A' \cup B'$

$(A \cup B)' = A' \cap B'$

$(A \cap B)' = A' \cap B'$

$A \cup (B \cap C) = (A \cup B) \cap (A \cup C)$

4

8

16

32

{x : x \in \mathbb{N} \text{ and } x \text{ is a multiple of } 15}

{x : x \in \mathbb{N} \text{ and } x \text{ is a multiple of } 8}

{x : x \in \mathbb{N} \text{ and } x \text{ is a multiple of } 3}

$\emptyset$

$A \subset (A \cup B)$

$(A \cup B) \subset A$

$A \cap B = A \cup B$

$A \subset (A \cap B)$

{x : x \in \mathbb{R}, -3 \le x < 5}

{x : x \in \mathbb{R}, -3 < x \le 5}

{x : x \in \mathbb{R}, -3 \le x \le 5}

{x : x \in \mathbb{R}, -3 < x < 5}

8

7

6

9