Ex 1.3,1
Make correct statements by filling in the symbols or in the blank spaces:
(i) {2, 3, 4} {1, 2, 3, 4, 5}
Since set {1,2,3,4,5} has all the elements of set {2,3,4}
So, {2,3,4} is a subset of {1,2,3,4,5}
{2,3,4} {1,2,3,4,5}
Ex 1.3,1
Make correct statements by filling in the symbols or in the blank spaces:
(ii) {a, b, c} {b, c, d}
Since a is in set {a, b, c} but not {b, c, d}
Set {b, c, d} does NOT have all the elements of set {a, b, c}
So, {a, b, c} is not a subset of {b, c, d}
{a, b, c} {b, c, d}
Ex 1.3,1
Make correct statements by filling in the symbols or in the blank spaces:
(iii) {x: x is a student of Class XI of your school} {x: x student of your school}
Since students all the students in my class would also be the students of my school.
So, {x: x is a student of class XI of your school} is a subset of {x: x is student of your school}
{x: x is a student of class XI of your school}
{x: x is student of your school}
Ex 1.3,1
Make correct statements by filling in the symbols or in the blank spaces:
(iv) {x: x is a circle in the plane} {x: x is a circle in the same plane with radius 1 unit}
Circle in a plane can be of any radius, not only of 1 unit.
So, {x: x is a circle in the plane} is not a subset {x: x is a circle in the same plane with radius 1 unit}
{x: x is a circle in the plane}
{x: x is a circle in the same plane with radius 1 unit}
Ex 1.3,1
Make correct statements by filling in the symbols or in the blank spaces:
(v) {x: x is a triangle in a plane} {x: x is a rectangle in the plane}
Since the set of rectangles does not include the set of triangles.
So, {x: x is a triangle in a plane} is not a subset of {x: x is a rectangle in the plane}
{x: x is a triangle in a plane} {x: x is a rectangle in the plane}
Ex 1.3,1
Make correct statements by filling in the symbols or in the blank spaces:
(vi) {x: x is an equilateral triangle in a plane}
{x: x is a triangle in the same plane}
Since the set of all triangles in the same plane includes equilateral triangles also.
So,
{x: x is an equilateral triangle in a plane} is a subset of {x: x in a triangle in the same plane}
{x: x is an equilateral triangle in a plane}
{x: x in a triangle in the same plane}
Ex 1.3,1
Make correct statements by filling in the symbols or in the blank spaces:
(vii) {x: x is an even natural number} {x: x is an integer}
Natural numbers = 1,2,3,4,5,6,
Even natural numbers = 2,4,6, .
So, {x: x is an even natural number} = { 2,4, 6, ..}
Integers = .-3,-2,-1,0,1,2,3
So, {x: x is an integer} = { .-3,-2,-1,0,1,2,3 }
Since all even natural numbers are integers
So, {x: x is an even natural number} is a subset of {x: x is an integer}
{x: x is an even natural number} {x: x is an integer}