# 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}

**Solution:**

First, we will understand what are ⊂ and ⊄.

⊂ means "a subset of". If we write A ⊂ B, then we read it as "A is a subset of B" and it means that all the elements of A are present in B.

⊄ means "NOT a subset of". If we write A ⊄ B, then we read it as "A is NOT a subset of B" and it means that there are some elements of A that are NOT present in B.

Using these,

**(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 is 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 in a triangle in the same plane}

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

NCERT Solutions Class 11 Maths Chapter 1 Exercise 1.3 Question 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}

**Summary:**

We are asked to make correct statements by filling in the symbols ⊂ or ⊄ in the blank spaces. We found that

(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 is 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 in a triangle in the same plane}

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

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