Answered: Find the truth set of a given predicate…

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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Find the truth set of a given predicate
(is an integer where and n is equal to the sum of integers corresponding to first 3 alphabets of your name, for example if your name is FAHAD then the three numbers will be F=6, A=1 and H=8 .. ?

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If $P (n)$ is a predicate and $n$ belongs to the domain $D$ , the truth set of $P (n)$ is the set of all elements of D that make $P (n)$ true when they are substituted for $n$ .

The truth set of $P (n)$ is denoted by $\{n \in D P (n)\}$

Given that the domain $D$ is an integer then $n \in ℤ$

Let $P (n)$ be the given predicate.

$P (n) = " n i s e q u a l t o t h e s u m o f i n t e g e r s c o r r e s p o n d i n g t o f i r s t 3 a l p h a b e t s o f y o u r n a m e . "$

The truth set of given $P (n)$ is denoted by $\{n \in ℤ P (n)\}$

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