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Consider the following statement form. pv ~q→rvq (a) The logical equivalences p→q=~p V q and p q = (~pVg) ^ (~q V p) make it possible to rewrite the given statement form using only ~, A, and and not → or →. What is the result when the form is expressed without →? ● ~(p V ~q) v (rva) O (pv ~q) v (rv a) O ~ (p V ~G) V ~(rva) O ~ (p V ~g) ^ (rv q) O~(pvq) v (rv a) (b) The logical equivalence p V q = ~(~p ^~q) can be used to rewrite the given statement form without V. What is the result when the form is expressed without either → or V? O~(~(~p ^9) ^ (r^ ~q))

Consider the following statement form. pv ~q→rvq (a) The logical equivalences p→q=~p V q and p q = (~pVg) ^ (~q V p) make it possible to rewrite the given statement form using only ~, A, and and not → or →. What is the result when the form is expressed without →? ● ~(p V ~q) v (rva) O (pv ~q) v (rv a) O ~ (p V ~G) V ~(rva) O ~ (p V ~g) ^ (rv q) O~(pvq) v (rv a) (b) The logical equivalence p V q = ~(~p ^~q) can be used to rewrite the given statement form without V. What is the result when the form is expressed without either → or V? O~(~(~p ^9) ^ (r^ ~q))

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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Hello, please help me understand how you would get to these two answers.

Consider the following statement form. PV ~q → rvq (a) The logical equivalences p →q = ~p V q and p q = (~p V q) ^ (~q V p) make it possible to rewrite the given statement form using only ~, A, and V and not → or →. What is the result when the form is expressed without →? ● ~(p V ~q) V (r V q) O (p V ~q) v (rv q) O ~ (p V ~q) V ~ (r V q) O ~ (p V ~q) ^ (rv q) ~(pv q) v (rv q) (b) The logical equivalence p V q = ~(~p ^ ~q) can be used to rewrite the given statement form without V. What is the result when the form is expressed without either → or V? O ~ (~(~p ^ q) ^ (r^ ~q)) O ~ (~(~p ^ q) v (~r ^ ~q)) О ~(~(~рла) ^ (~^g)) O ~ (~p ^ q) ^ (~r ^ ~q) ● ~(~(~p ^ q) ^ (~r ^ ~q))
Transcribed Image Text:Consider the following statement form. PV ~q → rvq (a) The logical equivalences p →q = ~p V q and p q = (~p V q) ^ (~q V p) make it possible to rewrite the given statement form using only ~, A, and V and not → or →. What is the result when the form is expressed without →? ● ~(p V ~q) V (r V q) O (p V ~q) v (rv q) O ~ (p V ~q) V ~ (r V q) O ~ (p V ~q) ^ (rv q) ~(pv q) v (rv q) (b) The logical equivalence p V q = ~(~p ^ ~q) can be used to rewrite the given statement form without V. What is the result when the form is expressed without either → or V? O ~ (~(~p ^ q) ^ (r^ ~q)) O ~ (~(~p ^ q) v (~r ^ ~q)) О ~(~(~рла) ^ (~^g)) O ~ (~p ^ q) ^ (~r ^ ~q) ● ~(~(~p ^ q) ^ (~r ^ ~q))
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