Consider the following equivalence proof for proving: А — ВлС%3 (А — В) л (А — С) The proof has a mistake in it. Which line contains the error? 1. А — ВЛС = ¬A V (B A C) = (¬A A B) V (¬A ^ C) 2. 3. 4. — (А — В) л (А — С) 1 2 4

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter2: Parallel Lines
Section2.CT: Test
Problem 3CT: To prove a theorem of the form "If P, then Q" by the indirect method, the first line of the proof...
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Which of the following is a DNF representation of the function:
f(P,Q, R) = true iff either Q is true or R is false
(P ^Q A R) V (¬P ^Q^ ¬R)
-Q v R
(Q ^ R) V (Q ^ ¬R) V (¬Q ^ ¬R)
(Q v R) ^ (Q V ¬R) ^ (¬Q v ¬R)
Transcribed Image Text:Which of the following is a DNF representation of the function: f(P,Q, R) = true iff either Q is true or R is false (P ^Q A R) V (¬P ^Q^ ¬R) -Q v R (Q ^ R) V (Q ^ ¬R) V (¬Q ^ ¬R) (Q v R) ^ (Q V ¬R) ^ (¬Q v ¬R)
Consider the following equivalence proof for proving:
А — ВлС%3 (А — В)л (А — С)
The proof has a mistake in it. Which line contains the error?
1. А — ВЛС
= ¬A V (B A C)
= (¬A A B) V (¬A ^ C)
= (A → B) A (A → C)
2.
3.
4.
1
2
4
Transcribed Image Text:Consider the following equivalence proof for proving: А — ВлС%3 (А — В)л (А — С) The proof has a mistake in it. Which line contains the error? 1. А — ВЛС = ¬A V (B A C) = (¬A A B) V (¬A ^ C) = (A → B) A (A → C) 2. 3. 4. 1 2 4
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