Let R be the set of real numbers and d: R x R R be defined as follows. d(x, y) = 3|x - y®I. Then (R, d) is O a pseudo-metric space but not a metric space. O not a metric space and not a pseudo-metric space. O a metric space but not a pseudo-metric space. Oa metric space and a pseudo-metric space.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Let R be the set of real numbers and d: R x R →R be defined as follows.
d(x, y) = 3|x-y®l.
Then (R, d) is
O a pseudo-metric space but not a metric space.
not a metric space and not a pseudo-metric space.
a metric space but not a pseudo-metric space.
O a metric space and a pseudo-metric space.
Transcribed Image Text:Let R be the set of real numbers and d: R x R →R be defined as follows. d(x, y) = 3|x-y®l. Then (R, d) is O a pseudo-metric space but not a metric space. not a metric space and not a pseudo-metric space. a metric space but not a pseudo-metric space. O a metric space and a pseudo-metric space.
MC X
gle.com/forms/d/e/1FAlpQLSefHYVvyQQ50wZOtTLKOdjqSZGZg31KOzXz2wOIBwMTRKRxdw/formResponse
Let d: R2 x R2 R be defined as follows.
d(x1, Y1). (X2. y2)) = 3/(x1 - x2)² + G1 - Y2)².
Then the closed ball B[(1,0),3] is represented by the blue part in
the above figure
None of these
the above figure.
the above figure
Transcribed Image Text:MC X gle.com/forms/d/e/1FAlpQLSefHYVvyQQ50wZOtTLKOdjqSZGZg31KOzXz2wOIBwMTRKRxdw/formResponse Let d: R2 x R2 R be defined as follows. d(x1, Y1). (X2. y2)) = 3/(x1 - x2)² + G1 - Y2)². Then the closed ball B[(1,0),3] is represented by the blue part in the above figure None of these the above figure. the above figure
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