The truth table shows that the compound statement is true in three out of the four possible cases. The only case where it is false is when p is true and q is false.
How to create truth table?
The given compound statement is "If she is not on time, she will ask Mark what happened." We can represent this statement using propositional variables as "p → q", where p represents "She is not on time" and q represents "She will ask Mark what happened".
Considering all possible combinations of truth values for p and q, we have the truth table as:
The correct truth table for this compound statement is:
p q p → q
T T T
T F F
F T T
F F T
In this truth table, "T" represents true and "F" represents false. We can see that the compound statement is true in three out of the four possible cases. The only case where it is false is when p is true and q is false, which corresponds to the situation where she is on time but does not ask Mark what happened.