for each positive integer i. Find each of the following. (Enter your answers using interval notation.) (a) 4 = i = 1 (b) 4 i = 1 (c) Are V,, V21 V31 mutually disjoint? Why or why not? O Yes, because the union of the sets V,, V,, V3 ... is empty. O Yes, because no two of the sets V,, V,, V3, have any elements in common. O Yes, because the intersection of the sets V,, V,, V3, ... is empty. O No, because no two of the sets V,, V31 ... are disjoint. O No, because the sets V,, V2, V3. ... are disjoint.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section: Chapter Questions
Problem 63RE
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Related questions
Question
1
Let V, =
xER-
for each positive integer i. Find each of the following. (Enter your answers using interval notation.)
(a)
4
i = 1
(b) 4
=
i = 1
(c) Are V,, V2 V3
mutually disjoint? Why
why not?
1'
O Yes, because the union of the sets V,, V2, V3 ... is empty.
O Yes, because no two of the sets V,
V2, V31
have any elements in common.
...
O Yes, because the intersection of the sets V,, V2, V
1'
is empty.
...
O No, because no two of the sets V,, V,, V3 ... are disjoint.
O No, because the sets V,, V2, V3.
... are disjoint.
(d)
i = 1
(e) n
nV; =
i = 1
(f)
UV, =
i = 1
(g) 0
nv =
i = 1
Transcribed Image Text:1 Let V, = xER- for each positive integer i. Find each of the following. (Enter your answers using interval notation.) (a) 4 i = 1 (b) 4 = i = 1 (c) Are V,, V2 V3 mutually disjoint? Why why not? 1' O Yes, because the union of the sets V,, V2, V3 ... is empty. O Yes, because no two of the sets V, V2, V31 have any elements in common. ... O Yes, because the intersection of the sets V,, V2, V 1' is empty. ... O No, because no two of the sets V,, V,, V3 ... are disjoint. O No, because the sets V,, V2, V3. ... are disjoint. (d) i = 1 (e) n nV; = i = 1 (f) UV, = i = 1 (g) 0 nv = i = 1
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