Q3(iv):

Let $A = \{ 1, 2, \{ 3, 4 \}, 5 \}$. Which of the following statements are incorrect and why? (iv) $1 \in A$

More Questions from Class 11 Mathematics Sets EXERCISE 1.3

• Q1(i): Make correct statements by filling in the symbols $\subset$ or $\not\subset$ in the blank spaces : (i) \{ 2, 3, 4 \} . . . \{ 1, 2, 3, 4,5 \}
• Q1(ii): Make correct statements by filling in the symbols $\subset$ or $\not\subset$ in the blank spaces : (ii) \{ a, b, c \} . . . \{ b, c, d \}
• Q1(iii): Make correct statements by filling in the symbols $\subset$ or $\not\subset$ in the blank spaces : (iii) \{$x : x$ is a student of Class XI of your school\}. . .\{$x : x$ student of your school\}
• Q1(iv): Make correct statements by filling in the symbols $\subset$ or $\not\subset$ in the blank spaces : (iv) \{$x : x$ is a circle in the plane\} . . .\{$x : x$ is a circle in the same plane with radius 1 unit\}
• Q1(v): Make correct statements by filling in the symbols $\subset$ or $\not\subset$ in the blank spaces : (v) \{$x : x$ is a triangle in a plane\} . . . \{$x : x$ is a rectangle in the plane\}
• Q1(vi): Make correct statements by filling in the symbols $\subset$ or $\not\subset$ in the blank spaces : (vi) \{$x : x$ is an equilateral triangle in a plane\} . . . \{$x : x$ is a triangle in the same plane\}
• Q1(vii): Make correct statements by filling in the symbols $\subset$ or $\not\subset$ in the blank spaces : (vii) \{$x : x$ is an even natural number\} . . . \{$x : x$ is an integer\}
• Q2(i): Examine whether the following statements are true or false: (i) \{ a, b \} $\not\subset$ \{ b, c, a \}
• Q2(ii): Examine whether the following statements are true or false: (ii) \{ a, e \} $\subset$ \{ $x : x$ is a vowel in the English alphabet\}
• Q2(iii): Examine whether the following statements are true or false: (iii) \{ 1, 2, 3 \} $\subset$ \{ 1, 3, 5 \}
• Q2(iv): Examine whether the following statements are true or false: (iv) \{ a \} $\subset$ \{ a, b, c \}
• Q2(v): Examine whether the following statements are true or false: (v) \{ a \} $\in$ \{ a, b, c \}
• Q2(vi): Examine whether the following statements are true or false: (vi) \{ $x : x$ is an even natural number less than 6\} $\subset$ \{ $x : x$ is a natural number which divides 36\}
• Q3(i): Let $A = \{ 1, 2, \{ 3, 4 \}, 5 \}$. Which of the following statements are incorrect and why? (i) \{3, 4\} $\subset$ $A$
• Q3(ii): Let $A = \{ 1, 2, \{ 3, 4 \}, 5 \}$. Which of the following statements are incorrect and why? (ii) \{3, 4\} $\in$ $A$
• Q3(iii): Let $A = \{ 1, 2, \{ 3, 4 \}, 5 \}$. Which of the following statements are incorrect and why? (iii) \{\{3, 4\}\} $\subset$ $A$
• Q3(ix): Let $A = \{ 1, 2, \{ 3, 4 \}, 5 \}$. Which of the following statements are incorrect and why? (ix) $\phi \in A$
• Q3(v): Let $A = \{ 1, 2, \{ 3, 4 \}, 5 \}$. Which of the following statements are incorrect and why? (v) $1 \subset A$
• Q3(vi): Let $A = \{ 1, 2, \{ 3, 4 \}, 5 \}$. Which of the following statements are incorrect and why? (vi) \{1, 2, 5\} $\subset$ $A$
• Q3(vii): Let $A = \{ 1, 2, \{ 3, 4 \}, 5 \}$. Which of the following statements are incorrect and why? (vii) \{1, 2, 5\} $\in$ $A$
• Q3(viii): Let $A = \{ 1, 2, \{ 3, 4 \}, 5 \}$. Which of the following statements are incorrect and why? (viii) \{1, 2, 3\} $\subset$ $A$
• Q3(x): Let $A = \{ 1, 2, \{ 3, 4 \}, 5 \}$. Which of the following statements are incorrect and why? (x) $\phi \subset A$
• Q3(xi): Let $A = \{ 1, 2, \{ 3, 4 \}, 5 \}$. Which of the following statements are incorrect and why? (xi) \{$\phi$\} $\subset$ $A$
• Q4(i): Write down all the subsets of the following sets (i) \{a\}
• Q4(ii): Write down all the subsets of the following sets (ii) \{a, b\}
• Q4(iii): Write down all the subsets of the following sets (iii) \{1, 2, 3\}
• Q4(iv): Write down all the subsets of the following sets (iv) $\phi$
• Q5(i): Write the following as intervals : (i) \{$x : x \in R, – 4 < x \le 6$\}
• Q5(ii): Write the following as intervals : (ii) \{$x : x \in R, – 12 < x < –10$\}
• Q5(iii): Write the following as intervals : (iii) \{$x : x \in R, 0 \le x < 7$\}
• Q5(iv): Write the following as intervals : (iv) \{$x : x \in R, 3 \le x \le 4$\}
• Q6(i): Write the following intervals in set-builder form : (i) (– 3, 0)
• Q6(ii): Write the following intervals in set-builder form : (ii) [6 , 12]
• Q6(iii): Write the following intervals in set-builder form : (iii) (6, 12]
• Q6(iv): Write the following intervals in set-builder form : (iv) [–23, 5)
• Q7(i): What universal set(s) would you propose for each of the following : (i) The set of right triangles.
• Q7(ii): What universal set(s) would you propose for each of the following : (ii) The set of isosceles triangles.
• Q8: Given the sets $A = \{1, 3, 5\}$, $B = \{2, 4, 6\}$ and $C = \{0, 2, 4, 6, 8\}$, which of the following may be considered as universal set (s) for all the three sets A, B and C