Question

Make correct statements by filling in the symbols ⊂ of ⊄ 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}, since 2, 3, 4 all occurs in other set.

(ii) {a, b, c) ⊄ {b, c, d}, since a not occur in other set.

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

Since XIth class student is also student of school.

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

Since in first set, radius of circle may exceeds 1 unit.

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

Since, triangle is not rectangle.

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

Since an equilateral triangle also exist in other set.

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

Since set of integer also represents natural numbers.