| Date | May 2018 | Marks available | 1 | Reference code | 18M.1.sl.TZ1.3 |
| Level | SL only | Paper | 1 | Time zone | TZ1 |
| Command term | State | Question number | 3 | Adapted from | N/A |
Question
Consider the following propositions.
p: my Mathematical Studies homework is due tomorrow
q: today is Wednesday
Write down in words the compound proposition ¬\(p \Rightarrow q\).
Complete the truth table.
State whether the compound proposition (\(\neg p \Rightarrow q\)) ∨ (\(\neg p \wedge q\)) is a tautology, contradiction or neither.
Markscheme
If my Mathematical Studies homework is not due in tomorrow then today is Wednesday. (A1)(A1) (C2)
Note: Award (A1) for If… then…
Award (A1) for correct propositions, my Mathematical Studies homework is not due in tomorrow and today is Wednesday, in the correct order.
Award (A1)(A0) for “If ¬p then q”.
[2 marks]
(A1)(A1)(A1)(ft) (C3)
[3 marks]
neither (A1)(ft) (C1)
Note: Follow through from the final column of their truth table.
[1 mark]
