Q1.5 Cartesian products of intervals Write down the number of vertices included in each of the following rectangular regions given as Cartesian products of intervals. For example, the region (0, 1] × [0, 1] includes the vertices (0,0), (1,0), (0, 1), and (1, 1), so the answer for this region is 4. (0) [0, 1) × [0, 1) Enter your answer here (b) [0, 1) × [0, 1) Enter your answer here (e) (0, 1] x (0, 1) Enter your answor here Recall that an interval is either closed (e.g. [0, 1), half-closed (e.g. [0, 1) and (0, 1), or open (e.g. (0, 1). Is it possible to produce a rectangular region that includes only 3 vertices from Cartesian products of two intervals? (Yes/No) You don't need to justify your answer. Enter your answer here

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter12: Angle Relationships And Transformations
Section12.7: Dilations
Problem 17E
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Q1.5 Cartesian products of intervals
Write down the number of vertices included in each of the following rectangular regions given
as Cartesian products of intervals. For example, the region [0, 1] × [0, 1] includes the vertices
(0,0), (1,0), (0, 1), and (1, 1), so the answer for this region is 4.
(a) [0, 1) × [0, 1)
Enter your answer here
(b) (0, 1) × [0, 1)
Enter your answer here
(c) (0, 1] × (0, 1)
Enter your answer here
Recall that an interval is either closed (e.g. [0, 1), half-closed (e.g. [0, 1) and (0, 1), or open
(e.g. (0, 1). Is it possible to produce a rectangular region that includes only 3 vertices from
Cartesian products of two intervals? (Yes/No) You don't need to justify your answer.
Enter your answer here
Transcribed Image Text:Q1.5 Cartesian products of intervals Write down the number of vertices included in each of the following rectangular regions given as Cartesian products of intervals. For example, the region [0, 1] × [0, 1] includes the vertices (0,0), (1,0), (0, 1), and (1, 1), so the answer for this region is 4. (a) [0, 1) × [0, 1) Enter your answer here (b) (0, 1) × [0, 1) Enter your answer here (c) (0, 1] × (0, 1) Enter your answer here Recall that an interval is either closed (e.g. [0, 1), half-closed (e.g. [0, 1) and (0, 1), or open (e.g. (0, 1). Is it possible to produce a rectangular region that includes only 3 vertices from Cartesian products of two intervals? (Yes/No) You don't need to justify your answer. Enter your answer here
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