The image contains a logic exercise with symbolic representation of statements. Here's a detailed transcription suitable for an educational website:---### Logic Exercise: Symbolic Representation of Statements**Let p, q, and r represent simple statements as defined below:**- **p:** I have a job.- **q:** I follow a budget.- **r:** I am in debt.**Task:**Write the following compound statement in symbolic form:- "Sufficient conditions for not being in debt are having a job and following a budget."**Solution Guide:**To express the compound statement symbolically, note the sufficiency condition indicates a logical form:- Not being in debt can be symbolized as "¬r."- The condition "having a job and following a budget" is "p ∧ q."Thus, the symbolic representation is:- **(p ∧ q) → ¬r**This means if you have a job and follow a budget, then you are not in debt.**Exercise:**Write the symbolic form of the statement below:- __[Input Box: ( )]__Fill in the symbolic representation following the logic used.--- In this exercise, learners strengthen their understanding of symbolic logic used in conditional reasoning. They further apply this understanding to construct logical arguments.

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Answered: Let p, q, and r represent simple…

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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Let p, q, and r represent simple statements as defined below. r: I am in debt. p: I have a job. q: I follow a budget. Write the following compound statement in symbolic form. Sufficient conditions for not being in debt are having a job and following a budget.