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Help with this question, please

[From: ] [author: ] [Date: 12-07-05] [Hit: ]
tinypic.com/2gt28i1.This statement reads, The set named F consists of elements, each named w, such that the elements include all numbers that are less than 1.......
Don't understand it, I know it's union and intersect
help, needs to be put into interval notation, ex (1,5]
I don't get what brackets to use either
http://i45.tinypic.com/2gt28i1.jpg

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F = { w | w < 1 }

This statement reads, 'The set named F consists of elements, each named w, such that the elements include all numbers that are less than 1.'

H = { w | w ≥ 5 }

This statement reads, 'The set named H consists of elements, each named w, such that the elements include all numbers that are equal to or greater than 5.'

F ∩ H

This statement reads, 'All elements in the set F that have corresponding elements in the set H.'

Since there are no corresponding elements in F and H,

F ∩ H = Φ, or an empty set.
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F U H

This statement reads, 'All elments in both F and H inclusive,' so

F U H = (- ∞, 1) U [5, ∞), or the set that does not include the set (1 < x ≤ 5).
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