## Sets Resources Why is this an empty set???

x ∈ R2 : x= t [1, 1] for all t ∈ R . To me this reads like: x is a vector in R2 such that x= t[1,1] for all t in R. So no matter the t I choose (say 1) the resultant vector ( in this case [1,1])...

N(a) represents the no. Of elements in set a n(A intersection B) =0. I want to ask what the n here means

and if we’re given with a statement of union or intersection with this n then how do we find the conditio? Thank you In a group of 34 children each one play cricket or hockey or both of 16 can play criçket and 12 can play cricket only find how many play hockey only Write Y in roster form if

Y = {x:x is a positive factor of the number 2ª ¯¹ (2ª-1),where 2ª-1 is a prime number}.  "Y is equal to the set of all  x such that x is a positive factor of the number 2 raise...

this is a problem solving of a set. Sets involving fractions

A number of tourists were interviewed on their choice of means of travel. 2 thirds said that they traveled by road, 13/30 by air and 4/15 by both air and road. How many tourists were interviewed... How do I prove that a set of closed sets is itself closed.

Hi, I have been asked the following but am struggling.   Let {Ωa : a ∈ I} be an arbitrary family of closed sets Ωa ⊆ Rd with an index set I. Prove that   ∩   ... Sets question

In a class of 60 students, 40 students like math, 36 like sciences, 24 like both the subjects. Find the students who like a) either math or science b) neither math nor science