Question 34 Determine whether the ff. proof is valid: for all sets A, B, and C, if AC B and BC C then ACC. "Proof: Suppose A, B, and C are any sets such that ACB and B C C. Since AC B, there is an element X such that xEA 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 xE A and xEC and so AC C." O Insufficient information to find the answer O Yes, it is valid O Maybe O Not valid
Question 34 Determine whether the ff. proof is valid: for all sets A, B, and C, if AC B and BC C then ACC. "Proof: Suppose A, B, and C are any sets such that ACB and B C C. Since AC B, there is an element X such that xEA 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 xE A and xEC and so AC C." O Insufficient information to find the answer O Yes, it is valid O Maybe O Not valid
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
34
Transcribed Image Text:Question 34
Determine whether the ff. proof is valid:
for all sets A, B, and C, if AC B and BCC then
ACC.
"Proof: Suppose A, B, and C are any sets such that
AC B and B C C. Since AC B, there is an element
X such that xE A and x E B, and since BC C,
there is an element x such that xE B and x E C.
Hence there is an element x such that xEA and
xEC and so AC C."
O Insufficient information to find the answer
O Yes, it is valid
О Мaybe
O Not valid
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