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Make correct statements by filling in the symbols $\subset$ or $\not \subset$ in the blank spaces:
(i) $\{2,3,4\} \ldots\{1,2,3,4,5\}$
(ii) $\{a, b, c\} \ldots\{b, c, d\}$
(iii) $\{x: x$ is a student of class XI of your school $\} \ldots\{x: x$ is a student of your school $\}$
(iv) $\{x: x$ is a circle in the plane $\} \ldots\{x: x$ is a circle in the same plane with radius 1 unit $\}$
(v) $\{x: x$ is a triangle in a plane $\} \ldots\{x: x$ is a rectangle in the plane $\}$
(vi) $\{x: x$ is an equilateral triangle in a plane $\} \ldots\{x: x$ is a triangle in the same plane $\}$
(vii) $\{x: x$ is an even natural number $\} \ldots$ $\{x: x$ is an integer $\}$.
(i) $\{2,3,4\} \ldots\{1,2,3,4,5\}$
(ii) $\{a, b, c\} \ldots\{b, c, d\}$
(iii) $\{x: x$ is a student of class XI of your school $\} \ldots\{x: x$ is a student of your school $\}$
(iv) $\{x: x$ is a circle in the plane $\} \ldots\{x: x$ is a circle in the same plane with radius 1 unit $\}$
(v) $\{x: x$ is a triangle in a plane $\} \ldots\{x: x$ is a rectangle in the plane $\}$
(vi) $\{x: x$ is an equilateral triangle in a plane $\} \ldots\{x: x$ is a triangle in the same plane $\}$
(vii) $\{x: x$ is an even natural number $\} \ldots$ $\{x: x$ is an integer $\}$.
Solution:
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Verified Answer
(i) $\{2,3,4\} \subset\{1,2,3,4,5\}$
(ii) $\{a, b, c\} \subset\{b, \mathrm{c}, d\}$
(iii) $\{x: x$ is a student of class XI of your school $\} \subset\{x: x$ is a student of your school $\}$
(iv) $\{x: x$ is a circle in the plane $\} \subset\{x: x$ is a circle in the same plane with radius 1 unit $\}$
(v) $\{x: x$ is a triangle in a plane $\} \subset\{x: x$ is a rectangle in the same plane $\}$
(vi) $\{x: x$ is an equilateral triangle in a plane $\} \subset\{x: x$ is a triangle in the same plane\}
(vii) $\{x: x$ is an even natural number $\} \subset\{x: x$ is an integer $\}$
(ii) $\{a, b, c\} \subset\{b, \mathrm{c}, d\}$
(iii) $\{x: x$ is a student of class XI of your school $\} \subset\{x: x$ is a student of your school $\}$
(iv) $\{x: x$ is a circle in the plane $\} \subset\{x: x$ is a circle in the same plane with radius 1 unit $\}$
(v) $\{x: x$ is a triangle in a plane $\} \subset\{x: x$ is a rectangle in the same plane $\}$
(vi) $\{x: x$ is an equilateral triangle in a plane $\} \subset\{x: x$ is a triangle in the same plane\}
(vii) $\{x: x$ is an even natural number $\} \subset\{x: x$ is an integer $\}$
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