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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 .. ?

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 .. ?

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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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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Step 1

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∈D   P(n)

Given that the domain D is an integer then n∈ℤ

Let P(n) be the given predicate.

P(n) = "n is equal to the sum of integers corresponding to first 3 alphabets of your name."

The truth set of given P(n) is denoted by n∈ℤ   P(n)

 

 

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