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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