State whether the propositions in parts (a) through (j) are TRUE or FALSE considering the following sets: X = (a, 1, (a, a), [a, 1], 0) Y = (a, 3, (a), [1, a]} (a) a EX (b) (a) EX (c) [a, 1] EX (d) [a, 1] EY (e) Ø EX (f) ØEY (g) ØSX (h) {Ø) ≤X (1) ([a, 3]) EXXY () (a, 1) x Y = (1, a) x Y with explanation why true and false

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 10CT: Statement P and Q are true while R is a false statement. Classify as true or false:...
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State whether the propositions in parts (a) through (j) are TRUE or FALSE considering the following sets:
X = (a, 1, (a, a), [a, 1], 0) Y = (a, 3, (a), [1, a]}
(a) a EX
(b) (a) EX
(c) [a, 1] EX
(d) [a, 1] € Y
(e) Ø EX
(f) Ø EY
(g) Ø≤X
(h) {0} ≤X
(i) ([a, 3]) EXXY
() (a, 1) x Y= (1, a) x Y
with explanation why true and
false
Transcribed Image Text:State whether the propositions in parts (a) through (j) are TRUE or FALSE considering the following sets: X = (a, 1, (a, a), [a, 1], 0) Y = (a, 3, (a), [1, a]} (a) a EX (b) (a) EX (c) [a, 1] EX (d) [a, 1] € Y (e) Ø EX (f) Ø EY (g) Ø≤X (h) {0} ≤X (i) ([a, 3]) EXXY () (a, 1) x Y= (1, a) x Y with explanation why true and false
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