# 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}.

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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 circle in the plane } … {x : x is a circle in the same plane with radius 1 unit}.

(iv) {x : x is a student of I PUC of your college} … {x : x is student of your college}.

(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}.

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(i) {2, 3, 4} ⊂ {1, 2, 3, 4, 5}

∵ 2, 3, 4 ∈ {1, 2, 3, 4, 5}

(ii) {a, b, c} ⊄ {b, c, d}

∵ a ⊄ {b, c, d}

(iii) {x: x is a circle in the plane} ⊄ {x: x is a circle in the same plane with radius 1 unit}. Because there exists a circle having a radius other than 1 unit.

(iv) {x: x is a student of 1 PUC of your college} ⊄ {x: x is a student of your college}

∵ Every student of I PUC is a student of the college.

(v) {x: x is a triangle in a plane} ⊄ {x: x is a rectangle in the plane.

∵ Triangle is not a rectangle.

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

∵ Every equilateral triangle in a plane is a triangle in the same plane.

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

∵ Every even natural number is an integer.