| Date | May 2017 | Marks available | 2 | Reference code | 17M.1.sl.TZ1.3 |
| Level | SL only | Paper | 1 | Time zone | TZ1 |
| Command term | State and Give a reason | Question number | 3 | Adapted from | N/A |
Question
Consider the following propositions.
\[\begin{array}{*{20}{l}} {p{\text{: I completed the task}}} \\ {q{\text{: I was paid}}} \end{array}\]
Write down in words \(\neg q\).
Write down in symbolic form the compound statement:
If I was paid then I completed the task.
Complete the following truth table.
State whether the statements \(p \vee \neg q\) and \(q \Rightarrow p\) are logically equivalent. Give a reason for your answer.
Markscheme
I was not paid (A1) (C1)
[1 mark]
\(q \Rightarrow p\) (A1) (C1)
[1 mark]
(A1)(A1) (C2)
Note: Award (A1) for each correct column.
[2 marks]
yes (A1)(ft)
as the last two columns of the truth table are the same (R1)(ft) (C2)
Note: Do not award (A1)(R0). Follow through from part (c)(i).
[2 marks]
