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State which of the following sets are finite, which are infinite :

(i) A = {x : x $space space element of$ N, and (x-1) (x - 2) = 0}

(ii) { x : x $space space element of$ N and x²= 25}

(iii) { x: x $space space element of space$ N, 2x-1 = 0}

(iv) { x : x $space space element of$ N, x is prime}

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52. Which set amongst sets in question7 are null sets?

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53.

Make correct statement by filling in the symbols ⊂ or ⊄ in the blank spaces :

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

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54. Make correct statement by filling in the symbols ⊂ or ⊄ in the blank spaces :

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

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55. Make correct statement by filling in the symbols ⊂ or ⊄ in the blank spaces :

(iii) {x : x is a student of class XI of your school}..........{x : x is a student of your school}.

Let A = {x : x is a student of class XI of your school}

B = {x : x is a student of your school}

Since, every student of class XI of the school is also a student of the school.

∴ All members of Set A are also members of Set B.

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Hence, {x : x is a student of class XI of your school) $space space space space subset of$ {x :x is a student of your school}

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56. Make correct statement 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}

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57. Make correct statement 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}

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58. Make correct statement by filling in the symbols ⊂ or ⊄ in the blank spaces :

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

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