2. State the converse of the statement "\emph{lf x ≤ y and y ≤z, then x ≤ z.}".

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Exercise 1: Short questions Answer the following questions. You do not need to prove your answers,
but briefly justify your reasoning.
1. Let A, B be statements. Are (A V B) v ¬(A ^¬B) and AV B logically equivalent?
2. State the converse of the statement "\emph{lf x ≤ y and y ≤ z, then x ≤ z.}".
3. Determine the set
N {(1+t,1+ yt²) : t ≤ R} C R².
YE[0,1]
4. Determine m € Z with 0 ≤ m ≤ 3 such that m = 12103 mod 4.
Transcribed Image Text:Exercise 1: Short questions Answer the following questions. You do not need to prove your answers, but briefly justify your reasoning. 1. Let A, B be statements. Are (A V B) v ¬(A ^¬B) and AV B logically equivalent? 2. State the converse of the statement "\emph{lf x ≤ y and y ≤ z, then x ≤ z.}". 3. Determine the set N {(1+t,1+ yt²) : t ≤ R} C R². YE[0,1] 4. Determine m € Z with 0 ≤ m ≤ 3 such that m = 12103 mod 4.
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