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

Tuesday, 8 April 2014
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
(i)All elements of set {2, 3, 4} lies in set {1, 2, 3, 4, 5}.
Hence, {2, 3, 4} ⊂ {1, 2, 3, 4, 5}

(ii) Element ‘a’ lies in set {a, b, c} and doesn't lies in set {b, c, d}.
Hence {a, b, c} ⊄ {b, c, d}

(iii) All student of class XI lies in his school.
{x: x is a student of class XI of your school}⊂ {x: x is student of your school}

(iv) All circle of plane cannot be of radius 1 unit.
Hence, {x: x is a circle in the plane} ⊄ {x: x is a circle in the same plane with radius 1 unit}

(v) Triangle and rectangle are two distinct things.
Hence, {x: x is a triangle in a plane} ⊄ {x: x is a rectangle in the plane}

(vi) Each equilateral triangle is also a triangle.
Hence, {x: x is an equilateral triangle in a plane}⊂ {x: x in a triangle in the same plane}

(vii) All even numbers are integers.
Hence, {x: x is an even natural number} ⊂ {x: x is an integer}

No comments:

Post a Comment