4. Find the following sets, which are subsets of R2. (a) U {a} x [0,1], (b) N {a} × [0,1], aeR aER (c) U x, 1] × [0, r°]. (c) n fx, 1] × [0,r]. XE(0,1)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Problem number 4
4. Find the following sets, which are subsets of R?.
(a) U {a} x [0,1],
(b) n {a} × [0,1],
aER
aER
(c) U x 1) × [0, r'}.
(c) n (x. 1] × [0,x²).
5. Let A and B two sets with universal set U. Is it true or false that A-B = A-B? Explain.
Uber
Eats
Transcribed Image Text:4. Find the following sets, which are subsets of R?. (a) U {a} x [0,1], (b) n {a} × [0,1], aER aER (c) U x 1) × [0, r'}. (c) n (x. 1] × [0,x²). 5. Let A and B two sets with universal set U. Is it true or false that A-B = A-B? Explain. Uber Eats
Expert Solution
Step 1

Note: According to Bartleby guidelines; for more than three questions asked, only the first three are to be answered.

Solution for a:

Given αα×0,1

This set is equal to,

αα,y|0y1

Note that the set α,y|0y1 is the straight line x=α of length 1.

Advanced Math homework question answer, step 1, image 1

Hence the set αα,y|0y1 will be the strip [0,1] on the y-axis.

Advanced Math homework question answer, step 1, image 2

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