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Question

Make correct statements by filling in the symbols or ⊄ in the blank spaces:

(i) {2, 3, 4} ..................... {1, 2, 3, 4, 5}

(ii) {a, b, c} ..................... {b, c, d}

(iii) {x : x is a student of Class XI of your school} ......... {x : x student of your school}

(iv) {x : x is a circle in the plane} ........... {x : x is a circle in the same plane with radius 1 unit}

(v) {x : x is a triangle in a plane} ........... {x : x is a rectangle in the same plane}

(vi) {x : x is an equilateral triangle in a plane} ............ {x : is a triangle in the same plane}

(vii) {x : x is an even natural number} .......... {x : x is an integer}


Solution

(i) {2, 3, 4}    {1, 2, 3, 4, 5}

(ii) {a, b, c}  ⊄  {b, c, d}

(iii) {x: x is a student of Class XI of your school}

  {x : x student of your school}

(iv) {x : x is a circle in the plane}  ⊄  {x : x is a circle in the same plane with radius 1 unit}

(v) {x : x is a triangle in a plane}  ⊄  {x : x is a rectangle in the plane}

(vi) {x : x is an equilateral triangle in a plane}   {x : x is a triangle in the same plane}

(vii) {x : x is an even natural number}    {x : is an integer}

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