Determine whether the ff. proof is valid: for all sets A, B, and C, if A C B and BC C then AC. "Proof: Suppose A, B, and C are any sets such that AC B and B C C. Since A C B, there is an element x such that x E A and x E B, and since BC C, there is an element x such that x E B and x E C. Hence there is an element x such that x E A and хECand so A C С" O Yes, it is valid Insufficient information to find the answer O Not valid O Maybe
Determine whether the ff. proof is valid: for all sets A, B, and C, if A C B and BC C then AC. "Proof: Suppose A, B, and C are any sets such that AC B and B C C. Since A C B, there is an element x such that x E A and x E B, and since BC C, there is an element x such that x E B and x E C. Hence there is an element x such that x E A and хECand so A C С" O Yes, it is valid Insufficient information to find the answer O Not valid O Maybe
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Answer the 2 questions, will upvote if complete, short solution/explanation will do
pls do not reject. thanks
Transcribed Image Text:Determine whether the ff. proof is valid:
for all sets A, B, and C, if A C B and BC C then
AC.
"Proof: Suppose A, B, and C are any sets such that
AC B and BC C. Since A C B, there is an element
x such that x E A and x E B, and since BCC,
there is an element x such that xEB and x E C.
Hence there is an element x such that x E A and
xE C and so A C C."
O Yes, it is valid
O Insufficient information to find the answer
O Not valid
O Maybe
Transcribed Image Text:Given the following sets:
A = {2, 3, 4},
B = {1, 5, 10},
C = {-1, 1, 2},
D = {2, 5, 10}
What is the cardinality of (A \ (Bu C)) \ (A \ (B u D)) ?
O 2
O 1
O 4
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