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Q10

Which pairs of sets are equivalent? which of them are also equal?

**(i) {a,b,c},{1,2,3}**

Ans: This Pairs of set is equivalent but are not equal because the set {a,b,c} and {1,2,3} have same number of elements.

**(ii) The set of the first 10 whole members,{0,1,2,3,...,9}**

Ans:The Ser of the first 10 whole numbers is {0,1,2,3,4,5,6,7,8,9} which is same and identical to second given set ,so it is equivalent and equal.

**(iii) Set of angles of a quadrilateral ABCD,**

Ans:There are four angles and four sides in a quadrilateral ABCD,so the set of angles of a quadrilateral ABCD is equivalent to the set of the sides of the same quadrilateral.So they are equivalent but angles and sides are different things so they are not equal.

**(iv) Set of the sides of a hexagon ABCDEF,**

** set of the angles of the same hexagon;**

Ans:There are six sides and six angles in hexagon ABCDEF so they are equivalent but angles and sides are different things so they are not equal.

(Hexagon)

**(v) {1,2,3,4,...},{2,4,6,8,....}**

Ans: Sine there exist 1 to 1 correspondence between the set of natural numbers and the set of positive even integers so these are equivalent but not equal.

**(vi) {1,2,3,4,..},{1,1/2,1/3,1/4,...}**

Ans:Sine there exist 1 to 1 correspondence between the elements of the sets, so these are equivalent but are not equal.

**(vii) {5,10,15,20,.....,55555},{5,10,15,20,...}**

Ans: Since {5,10,15,20,.....,55555},{5,10,15,20,...} is finite set while {5,10,15,20,...} has finite set so these are neither equivalent nor equal.