For each numbered line that is not a premise in each of the formal proofs that follow state the rule of inference/replacement that justifies it. ( V - כ(UT) .1 ( ( (WX) כ U) כ T) .2 3. ((T · V) ɔ ~ (W v X)) .: (W = X) 4. ((T · U) ɔ (W·X)) 5. (T · V) ɔ (~ W . ~ X)) 6. ((T · U) Ɔ (W ·X)) ·((T· V) ɔ (~ W . ~ X)) 7. (T · U v (T . V)) 8. ((W· X) V (~W v ~ X) 9. (W = X) Prompts Submitted Answers How did we arrive with line number 4? 2. Exportation How did we arrive with line number 5? 3, De Morgan's Theorem How did we arrive with line number 6? Choose a match How did we arrive with line number 7? Choose a match How did we arrive with line number 8? Choose a match How did we arrive with line number 9? Choose a match

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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For each numbered line that is not a premise in each of the formal proofs that follow state the rule of inference/replacement that
justifies it.
1. (T· (Uɔ V))
( ( (WX) כ (UT).2
3. ( (T · V) ɔ ~ (W v X))
.: (W = X)
4. ((Т. U) 5 (W .X))
5. (T · V) ɔ ( ~ W. ~ X))
6. ((T · U) ɔ (W ·X)) · ((T· V) ɔ (~ W. ~ X))
7. (T . U v (T. V))
8. ((W · X) v (~ W v ~ X)
9. (W = X)
Prompts
Submitted Answers
How did we arrive with line number 4?
2, Exportation
How did we arrive with line number 5?
3, De Morgan's Theorem
How did we arrive with line number 6?
Choose a match
How did we arrive with line number 7?
Choose a match
How did we arrive with line number 8?
Choose a match
How did we arrive with line number 9?
Choose a match
Transcribed Image Text:For each numbered line that is not a premise in each of the formal proofs that follow state the rule of inference/replacement that justifies it. 1. (T· (Uɔ V)) ( ( (WX) כ (UT).2 3. ( (T · V) ɔ ~ (W v X)) .: (W = X) 4. ((Т. U) 5 (W .X)) 5. (T · V) ɔ ( ~ W. ~ X)) 6. ((T · U) ɔ (W ·X)) · ((T· V) ɔ (~ W. ~ X)) 7. (T . U v (T. V)) 8. ((W · X) v (~ W v ~ X) 9. (W = X) Prompts Submitted Answers How did we arrive with line number 4? 2, Exportation How did we arrive with line number 5? 3, De Morgan's Theorem How did we arrive with line number 6? Choose a match How did we arrive with line number 7? Choose a match How did we arrive with line number 8? Choose a match How did we arrive with line number 9? Choose a match
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