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Question B1: Our table of logical equivalences (table 6 in section 1.3) only lists two distributive laws, but the laws (pVq) Ar= (p^r) V (q^r) and (p^q) Vr = ( / r = (pVr) ^ (qVr) are also true, and are also sometimes referred to as distributive laws. Use equivalences that are in the tables to show that these two extra equivalences are true. Hint: It might help you to think about the corresponing rules from arithmetic. How are the statements a × (b+c) = a × b + ax cand (a+b) × c = a ×c+bxc related?

Question B1: Our table of logical equivalences (table 6 in section 1.3) only lists two distributive laws, but the laws (pVq) Ar= (p^r) V (q^r) and (p^q) Vr = ( / r = (pVr) ^ (qVr) are also true, and are also sometimes referred to as distributive laws. Use equivalences that are in the tables to show that these two extra equivalences are true. Hint: It might help you to think about the corresponing rules from arithmetic. How are the statements a × (b+c) = a × b + ax cand (a+b) × c = a ×c+bxc related?

Advanced Engineering Mathematics
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 B1: Our table of logical equivalences (table 6 in section 1.3) only lists two distributive laws, but the laws (pVq) Ar= (p^r) V (q^r) and (p^q) Vr= (pVr) ^ (qVr) are also true, and are also sometimes referred to as distributive laws. Use equivalences that are in the tables to show that these two extra equivalences are true. Hint: It might help you to think about the corresponing rules from arithmetic. How are the statements a x (b + c) = axb+axc and (a+b)x c= axc+bxc related?
Transcribed Image Text:Question B1: Our table of logical equivalences (table 6 in section 1.3) only lists two distributive laws, but the laws (pVq) Ar= (p^r) V (q^r) and (p^q) Vr= (pVr) ^ (qVr) are also true, and are also sometimes referred to as distributive laws. Use equivalences that are in the tables to show that these two extra equivalences are true. Hint: It might help you to think about the corresponing rules from arithmetic. How are the statements a x (b + c) = axb+axc and (a+b)x c= axc+bxc related?
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