Use p : I like this school , q : I like Mr. Sexena. Express each of the following statements in words .
`~[(~p)^^ q]`

Answer

To express the given logical expression `~[(~p) ∧ q]` in words, we will break it down step by step.

1. **Identify the components**:
- Let \( p \) represent the statement "I like this school."
- Let \( q \) represent the statement "I like Mr. Saxena."

2. **Negation of \( p \)**:
- The negation of \( p \) is \( \sim p \), which translates to "I do not like this school."

3. **Negation of \( p \) and \( q \)**:
- The expression \( \sim p \land q \) means "I do not like this school and I like Mr. Saxena."

4. **Negation of the entire expression**:
- The outer negation \( \sim[(\sim p) \land q] \) means we are negating the entire statement from step 3. This translates to "It is not true that I do not like this school and I like Mr. Saxena."

5. **Final expression**:
- Therefore, the complete expression \( \sim[(\sim p) \land q] \) in words is: "It is not true that I do not like this school and I like Mr. Saxena."

### Summary of the Steps:
1. Identify \( p \) and \( q \).
2. Find \( \sim p \).
3. Combine \( \sim p \) and \( q \) using conjunction.
4. Negate the entire conjunction.