Question

Let p: The kitchen is clean.
Let q: The bedroom is clean.

Which statement is true if the kitchen is clean but the bedroom is not clean?

If p is true, then q is true.
Statement q is true if and only if p is true.
Both p and q are true.
Statement p or q is true.

Answer 1

"Statement p or q is true."

Reason: p is true and q is false, so
- p → q is false (true implies false is false),
- p ↔ q is false,
- p ∧ q is false,
- p ∨ q is true (true or false = true).