3 Answered Questions for the topic Sets And Functions

06/11/18

#### 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...
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#### 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
∩ Ωa
a ∈ I
is a closed...
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01/08/18

#### Define two functions c(x) = max{x - a,0}, p(x) = max{a-x,0}. Prove that c(x) - p(x) = x - a

Define two functions c(x) = max{x - a,0}, p(x) = max{a-x,0}. Prove that c(x) - p(x) = x - a

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