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Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter5: Linear Inequalities

Section5.1: Solving Inequalities By Addition And Subtraction

Problem 57PFA

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Question

Solve the following questions. Show your solutions completely and clearly.
1. The following is a logical proof for the inference
Premises : (~p vq) →r
r - (s Vt)
N SANU
~ u Nt
Conclusion: p
Give a reason to justify each step of the proof. Write the full reason. Do not abbreviate.
Steps
Reason
1. - SANU
2. ~ u
3. - u Nt
4. -t
5. -s
6. ~ SAt
7.r- (svt)
8. - (SVt) →r
9. (~ s A t) -Nr
10. -r
11. (~p v q) – r
12. - r (p vq)

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