mutually disjoint? Why or why not?

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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Question
1, 1 +
1
for each positive integer i. (Enter your answers using interval notation.)
<1+
=
=
(a)
U R; =
i = 1
(b) 7
n R;
i = 1
(c) Are R,, R2, R31
R, mutually disjoint? Why or why not?
Yes, because the intersection of the sets R,, R,, R, ..., R, is empty.
1'
Yes, because no two of the sets R,, R,, R3.
R, have any elements in common.
Yes, because the union of the sets R,, R,, R2, ..., R, is empty.
O No, because the sets R,, R,, R2, ..., R, are disjoint.
O No, because no two of the sets R,, R,, R3,
R, are disjoint.
(d)
i = 1
(е) п
n R; =
i = 1
(f)
UR;
=
i = 1
(g) 0
n R;
i = 1
Transcribed Image Text:1, 1 + 1 for each positive integer i. (Enter your answers using interval notation.) <1+ = = (a) U R; = i = 1 (b) 7 n R; i = 1 (c) Are R,, R2, R31 R, mutually disjoint? Why or why not? Yes, because the intersection of the sets R,, R,, R, ..., R, is empty. 1' Yes, because no two of the sets R,, R,, R3. R, have any elements in common. Yes, because the union of the sets R,, R,, R2, ..., R, is empty. O No, because the sets R,, R,, R2, ..., R, are disjoint. O No, because no two of the sets R,, R,, R3, R, are disjoint. (d) i = 1 (е) п n R; = i = 1 (f) UR; = i = 1 (g) 0 n R; i = 1
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