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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}.

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

{x : x is an even natural number} . . . {x : x is an integer}

Let A = {x : x is an even natural number} $space space space space space space space space space space rightwards double arrow space$ A = (2, 4, 6, ........)

B = {x : x is an integer}

$space space space space rightwards double arrow space space$ B = {......, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, ...........}

All even natural numbers are also integers.

∴ b Every member of set A is a member of set B.

$rightwards double arrow$ $space space space space space space space space space space space space straight A space subset of space straight B$

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