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Consider the following: p: This comput...

Consider the following:
p: This computer is good.
q: This computer is cheap.
Write the statement in symbolic form:
This computer is not good but cheap.

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The correct Answer is:
To convert the statement "This computer is not good but cheap" into symbolic form, we will follow these steps: 1. **Identify the Statements**: - Let \( p \) represent "This computer is good." - Let \( q \) represent "This computer is cheap." 2. **Negate the Statement**: - The phrase "not good" corresponds to the negation of \( p \), which is represented as \( \neg p \). 3. **Combine the Statements**: - The word "but" in logical terms can be treated as "and." Therefore, we need to combine \( \neg p \) (not good) and \( q \) (cheap) using the logical conjunction operator \( \land \). 4. **Write the Final Symbolic Form**: - The complete symbolic representation of the statement "This computer is not good but cheap" is: \[ \neg p \land q \] ### Summary of Steps: 1. Identify \( p \) and \( q \). 2. Negate \( p \) to get \( \neg p \). 3. Use "and" to combine \( \neg p \) and \( q \). 4. Write the final expression: \( \neg p \land q \).
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