Question

Some collections are given below. Pick the ones that form well defined sets.(i) Collection of all good students in your class.(ii) Red, blue, green, yellow, block.(iii) 1,2,3,4,5,6,7,.... (iv) 1, 8, 27, 64, 125, ....

Answer 1

Hi ,

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Set is a collection of well defined

objects .
@ Well defined collection of objects

mean that

i ) All the objects in the set should

have a common property.

ii ) It should be possible to decide

whether any given object belongs

to the set ( or ) not .

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i ) The collection of all good students

in your class is not a set as there is no

specific student to determine whether

student is good or not .

ii ) { Red , blue , green , yellow , block }

is a set .

iii ) { 1, 2 , 3 , 4 , 5, 6, 7 ,.. } = N

is a set of natural numbers.

iv ) { 1 , 8, 27 , 64 , 125 ,.... }

= { 1³ , 2³, 3³ , 4³ , 5³ , ... } is a set of

natural cube numbers .

I hope this helps you.

: )