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 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}

Answer 1

(i) {2,3,4}\( ⊂\) {1,2,3,4,5}

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(ii) {a,b,c} \(⊄\) {b,c,d}

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(iii) {x: x is a student of class XI of your school} \(⊂\) {x: x is student of your school}

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

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

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

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