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If p -= "She goes to market" and q -= ...

If p `-=` "She goes to market" and
q `-=` "She buys some fruits".
then choose the correct symbol for the given statement :
She does not go to market and she buys some fruits :

A

`~| p ^^ q`

B

`~| (p vv q)`

C

`p ^^ ~| q`

D

`p implies q`

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem step by step, we need to represent the given statement "She does not go to market and she buys some fruits" using logical symbols based on the definitions of p and q. ### Step 1: Define the Statements We have: - p = "She goes to market" - q = "She buys some fruits" ### Step 2: Negate the Statements We need to find the negation of p and q: - The negation of p (¬p) is "She does not go to market". - The negation of q (¬q) is "She does not buy some fruits". ### Step 3: Represent the Given Statement The given statement is "She does not go to market and she buys some fruits". In logical terms, this can be represented as: - "She does not go to market" corresponds to ¬p. - "She buys some fruits" corresponds to q. ### Step 4: Combine the Statements The conjunction "and" in logical reasoning is represented by the symbol ∧. Therefore, we can combine the two parts: - The logical representation of the statement is ¬p ∧ q. ### Conclusion Thus, the correct symbol for the given statement "She does not go to market and she buys some fruits" is: - ¬p ∧ q
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