QuestionWrite the symbolic form of: Not having a job or not following a budget implies being in debt.
Studdy Solution
STEP 1
Assumptions1. p represents the statement " have a job."
. q represents the statement " follow a budget."
3. r represents the statement " am in debt."
4. We are asked to write the compound statement "ufficient conditions for being in debt are not having a job or not following a budget." in symbolic form.
STEP 2
First, we need to understand the logical structure of the compound statement. The statement "ufficient conditions for being in debt are not having a job or not following a budget." can be rewritten as "If I do not have a job or I do not follow a budget, then I am in debt."
STEP 3
In symbolic form, the statement "If I do not have a job or I do not follow a budget, then I am in debt." can be written as "If not p or not q, then r."
STEP 4
The logical operator "not" is represented by the symbol "~", "or" is represented by the symbol "∨", and "if...then..." is represented by the symbol "→".
STEP 5
Substitute the symbols for the logical operators into the statement "If not p or not q, then r."
This is the symbolic form of the compound statement "ufficient conditions for being in debt are not having a job or not following a budget."
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