(A) The condition given is that $x$ is a positive integer and $x^2 < 40$.We test the positive integers:$1^2 = 1 < 40$ (True)$2^2 = 4 < 40$ (True)$3^2

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(A) The condition given is that $x$ is a positive integer and $x^2 We test the positive integers:$1^2 = 1 $2^2 = 4 $3^2 = 9 $4^2 = 16 $5^2 = 25 $6^2 = 36 $7^2 = 49 > 40$ (False)Thus,the set in roster form is $\{1, 2, 3, 4, 5, 6\}$.

Class 11 Mathematics Set Theory Basic of Set theory

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Write the set $\{ x : x \text{ is a positive integer and } x^2 < 40 \}$ in the roster form.

A
$\{1, 2, 3, 4, 5, 6\}$
B
$\{1, 2, 3, 4, 5\}$
C
$\{0, 1, 2, 3, 4, 5, 6\}$
D
$\{2, 3, 4, 5, 6\}$

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Let $A = \{a, e, i, o, u\}$ and $B = \{a, b, c, d\}$. Is $A$ a subset of $B$? No. (Why?). Is $B$ a subset of $A$? No. (Why?)

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Let $A = \{1, 2, \{3, 4\}, 5\}$. Which of the following statements is incorrect and why?
${1, 2, 3} \subset A$

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List all the elements of the following set:
$C = \{ x : x \text{ is an integer; } x^2 \le 4 \}$

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In set-builder form,the empty set is represented by

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If $A = \{ 1, 2, 3, 4, 5 \}$,then what is the number of proper subsets of $A$?

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Write the set $\{ x : x \text{ is a positive integer and } x^2 < 40 \}$ in the roster form.

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Let $A = \{a, e, i, o, u\}$ and $B = \{a, b, c, d\}$. Is $A$ a subset of $B$? No. (Why?). Is $B$ a subset of $A$? No. (Why?)

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Let $A = \{1, 2, \{3, 4\}, 5\}$. Which of the following statements is incorrect and why?
${1, 2, 3} \subset A$

List all the elements of the following set:
$C = \{ x : x \text{ is an integer; } x^2 \le 4 \}$