Answered: Let A = p and q, B = not(p or q). Then…

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Let A = p and q, B = not(p or q). Then the statement S = (not A) and B is

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

Let A = p and q, B = not(p or q). Then the statement S = (not A) and B is

Expert Solution

Step 1

GIVEN

A = p and q,

B = not(p or q).

Then the statement S = (not A) and B is ??

First, we translate the problem into symbolic logic notation. Indeed:

By our hypothesis we have that:

$A:p \wedge q$

$B: \ \sim (p \vee q)$

$S: (\sim A)\wedge B$

That is

$S: (\sim (p\wedge q))\wedge(\sim (p \vee q))$

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