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

Options

A. P ^ q
B. p v q
C. ` p to q`
D. ` p harr q`

Explanation

To represent the compound proposition "I take only bread and butter in breakfast or I do not take anything" using symbolic notation, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Propositions**:
- Let \( p \) represent the proposition "I take only bread and butter in breakfast."
- Let \( q \) represent the proposition "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 interpreted as a logical disjunction (OR) between the two propositions \( p \) and \( q \).

3. **Symbolic Representation of the Compound Proposition**:
- The logical operator for "or" is denoted by \( \lor \) (which is sometimes represented as "∨" or "U" in some contexts).
- Therefore, the compound proposition can be written as:
\[ p \lor q \]

4. **Final Representation**:
- Thus, the symbolic representation of the compound proposition "I take only bread and butter in breakfast or I do not take anything" is:
\[ p \lor q \]