a. Construct a truth table for (pAr) V (q ^-r) b. Use the truth table that you constructed in part a to determine the truth value of (- par) v (q A -r)given that p is false, q is true, and r is false. Your turn 9
a. Construct a truth table for (pAr) V (q ^-r) b. Use the truth table that you constructed in part a to determine the truth value of (- par) v (q A -r)given that p is false, q is true, and r is false. Your turn 9
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Transcribed Image Text:Example 9
Truth Tables
a. Construct a truth table for (p Aq) A (~rvq).
b. Use the truth table from part a to determine the truth value of (pAq) A(-rvq) given that p is
true, q is true, and r is false.
Solution
a. Using the procedures developed in Example 19, we can produce the following table.
The shaded column is the truth table for (p A q) A (~rv q). The numbers in the squares below the columns denote
the order in which the columns were constructed.
pnq
-rvq
(pAq) A(-rV
T
T
F
T
T
row 1
T
T
F
row 2
T
F
T
F
F
row 3
PANGASINAN STATE UNIVERSITY
23
Study Guide in Muthematica in the Modem World
FM-AA-CIA-15 Rev. O 10-July-2020
GE7 Mathematics in the Modern World
Module 2: Mathematical Language and Symbol
T
F
F
T
F
row 4
F
T
F
F
F
row 5
F
F
F
F
row 6
F
F
T
F
F
F
F
row 7
F
F
T
F
row 8
b. In row 2 of the above truth table, we see that (p Aq) A (~ rvq) is true when p is true, q is true,
and r is false.
a. Construct a truth table for (~ pAr) v (q A~r)
b. Use the truth table that you constructed in part a to determine the truth
value of (~ par) v (q A -r)given that p is false, q is true, and r is false.
Your turn 9
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