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Let there be two propositions p : I ta...

Let there be two propositions
p : I take only bread and butter in breakfast.
q : I do not take any thing in breakfast.
Then the compound proposition " I take only bread and butter in breakfast or I do not take any thing " is represented by

A

`p ^^ q`

B

`p vv q`

C

`p rarr q`

D

`p harr q`

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem, we need to represent the given compound proposition using logical symbols based on the propositions provided. 1. **Identify the propositions**: - Let \( p \) represent the statement "I take only bread and butter in breakfast." - Let \( q \) represent the statement "I do not take anything in breakfast." 2. **Understand the compound proposition**: - The compound proposition given is "I take only bread and butter in breakfast or I do not take anything." - This can be logically expressed as \( p \) or \( q \). 3. **Use logical symbols**: - The logical operator for "or" is represented by the symbol \( \lor \). - Therefore, the compound proposition can be written as: \[ p \lor q \] 4. **Final representation**: - The final representation of the compound proposition "I take only bread and butter in breakfast or I do not take anything" is: \[ p \lor q \] Thus, the answer is \( p \lor q \).
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