Q.1 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}
A set A is said to be a subset of a set B if every element of A is also an element of B.
(i). All elements {2,3,4} are also elements of {1,2,3,4,5} .
So, {2,3,4} {1,2,3,4,5}.
(ii).All elements { a, b, c } are not elements of{ b, c, d }.
Hence,{ a, b, c } { b, c, d }.
(iii) Students of class XI are also students of your school.
Hence,{x : x is a student of Class XI of your school} {x : x student of your school}
(iv). Here, {x : x is a circle in the plane} {x : x is a circle in the same plane with radius 1 unit} : since a circle in the plane can have any radius
(v). Triangles and rectangles are two different shapes.
Hence,{x : x is a triangle in a plane} {x : x is a rectangle in the plane}
(vi). Equilateral triangles are part of all types of triangles.
So,{x : x is an equilateral triangle in a plane} {x : x is a triangle in the same plane}
(vii).Even natural numbers are part of all integers.
Hence, {x : x is an even natural number} {x : x is an integer}