NCERT Class XI Mathematics - Sets - Solutions
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Question : 22
Total: 73
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 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 : x is an integer}
(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 : 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 : x is an integer}
(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 : x is an integer}
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