"If p then q" is same as (where p and q are statement)

Options

A. p only if q
B. p is a sufficent condition for q
C. ~q implies ~p
D. All of these

Answer

To solve the question "If p then q" is the same as, we need to express this implication in logical terms.

1. **Understanding Implication**: The statement "If p then q" can be denoted in logical notation as \( p \implies q \). This means that if the statement \( p \) is true, then the statement \( q \) must also be true.

2. **Using Logical Equivalents**: The implication \( p \implies q \) can also be expressed in terms of disjunction (OR). The equivalent expression is \( \neg p \lor q \), which reads as "not p or q". This means that either \( p \) is false, or \( q \) is true.

3. **Conclusion**: Therefore, the statement "If p then q" is logically equivalent to \( \neg p \lor q \).

### Final Answer:
"If p then q" is the same as \( \neg p \lor q \).