Consider the following:
p: This computer is good.
q: This computer is cheap.
Write the statement in symbolic form:
This computer is costly but good.

Answer

To convert the statement "This computer is costly but good" into symbolic form using the given propositions, we can follow these steps:

### Step 1: Identify the propositions
- Let \( p \): This computer is good.
- Let \( q \): This computer is cheap.

### Step 2: Determine the negation of the relevant proposition
The statement "This computer is costly" implies that the computer is not cheap. Therefore, we need to express this as the negation of \( q \):
- The negation of \( q \) (This computer is cheap) is \( \neg q \) (This computer is not cheap or costly).

### Step 3: Combine the propositions
The statement "This computer is costly but good" combines the negation of \( q \) and \( p \). The word "but" can be interpreted as "and" in logical terms. Therefore, we can express the entire statement as:
- \( \neg q \land p \)

### Final symbolic form
Thus, the symbolic form of the statement "This computer is costly but good" is:
\[ \neg q \land p \]

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