Mock test question 4 doubt.

unread,

Nov 15, 2020, 6:41:52 AM11/15/20

to Discussion forum for Mathematics for Data Science I

S1 is set of irrarional numbers btwn 0 and 1=( 1/2 , 1/3 , 1/4 , /1/5 root(2),root(3) ....etc )

S2 is set of rational numbers including 0 and 1 =(0, 1/2 , 1/3, ,1/4......1)

so s1 intersection s2 cant be empty set right as they have some elements in common

even though S2 set is a set of rational numbers and it is dence it will still have finite values right how is it infinite

and can anyone explain to me what is "S be the closed interval [0, 1]"

what elements will be included in this set.

Thank you

unread,

Nov 15, 2020, 6:45:59 AM11/15/20

to Discussion forum for Mathematics for Data Science I, Chinmay Bhobe

sorry root(2) and root(3) wont be included in the above set but still the have common eiements so their intersection cant be empty ?

unread,

Nov 15, 2020, 6:47:57 AM11/15/20

to Discussion forum for Mathematics for Data Science I, Chinmay Bhobe

Irrational Numbers are which cannot be written in P/q form.

1/2,1/3 are rational numbers

root(2),root(3) are irrational numbers.

unread,

Nov 15, 2020, 6:50:12 AM11/15/20

to Discussion forum for Mathematics for Data Science I, Chinmay Bhobe

S is closed interval between [0,1] it consists every rational numbers and rational numbers between [0,1]

On Sunday, November 15, 2020 at 5:11:52 PM UTC+5:30 Chinmay Bhobe wrote:

unread,

Nov 15, 2020, 7:31:37 AM11/15/20

to DHARMA TEJA GODUMALA, Discussion forum for Mathematics for Data Science I

Thanks DHARMA

I also always thought irrational numbers and real numbers were the same so I got confused.

My bad.

Reply all

Reply to author

Forward