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Standard VI

Mathematics

Acute Angled Triangle

Why is x:x is...

Question

Why is {x:x is an equilateral triangle in a plane} subset of {x:x is a triangle in a same plane} ?

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Solution

In this case, the universal set given to us is, U = {x:x is a triangle in a same plane}

and set E = {x:x is an equilateral triangle in a plane}.

E is subset of U because U is a set which contains all different types of triangles in it and set E is only the collection of equilateral triangles out of it. So, E is subset of U.

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Similar questions

Q. Make correct statements by filling in the symbols

\subset

\subset̸

in 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}

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}

Q. 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}

Make correct statements by filling in the symbols $\subset$ or $\subset̸$ 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 same plane}

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

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

Q. Make correct statements by filling in the symbols

\subset

\subset̸

in the blank spaces:

(i) {2, 3, 4} . . . {1, 2, 3, 4, 5}

(i i) {a, b, c} . . . {b, c, d}

(i i i) {x : x

is a student of class

X I

of your school

} . . . {x : x

is a student of your school}

(i v) {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}

(v i) {x : x

is an equilateral triangle in a plane

} . . . {x : x

is a triangle in the same plane

}

(v i i) {x : x

is an even natural number

} . . . {x : x

is an integer

}

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