A Truth Table as a Function Let p, q, and r be statements. Let S {T, F}. %3D a) Write the set that contains all of the possible truth values of the three statements S x S x S. Hint: The first ordered triple in a truth table would be written (T, T, T). Let S x S x S be the domain of f with codomain S = {T, F} ST ifq is T F ifq is F Define f(p, q, r) = { %3D b) Write f as a set of ordered pairs. Hint: The ordered pair for an input of (T, T, T) and an output of T would be ((T, T,T), T)
A Truth Table as a Function Let p, q, and r be statements. Let S {T, F}. %3D a) Write the set that contains all of the possible truth values of the three statements S x S x S. Hint: The first ordered triple in a truth table would be written (T, T, T). Let S x S x S be the domain of f with codomain S = {T, F} ST ifq is T F ifq is F Define f(p, q, r) = { %3D b) Write f as a set of ordered pairs. Hint: The ordered pair for an input of (T, T, T) and an output of T would be ((T, T,T), T)
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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Transcribed Image Text:A Truth Table as a Function
Let p, q, and r be statements. Let S
{T, F}.
%3D
a) Write the set that contains all of the possible truth values of the three statements S x S x S.
Hint: The first ordered triple in a truth table would be written (T,T,T).
Let S x S x S be the domain of f with codomain S = {T, F}
ST ifq is T
F ifq is F
Define f(p, q, r) = {
%3D
b) Write f as a set of ordered pairs.
Hint: The ordered pair for an input of (T, T, T) and an output of T would be ((T, T,T), T)
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