| Date | November 2014 | Marks available | 2 | Reference code | 14N.1.sl.TZ0.5 |
| Level | SL only | Paper | 1 | Time zone | TZ0 |
| Command term | Justify and State | Question number | 5 | Adapted from | N/A |
Question
Consider the statement p⇒q.
If I break my arm, then it will hurt.
Write down in words, the inverse of p⇒q.
[2]
a.
Complete the following truth table.
[2]
b.
State whether the converse and the inverse of an implication are logically equivalent.
Justify your answer.
[2]
c.
Markscheme
If I do not break my arm, then it will not hurt (A1)(A1) (C2)
Note: Award (A1) for “if… then…”
For Spanish candidates, only accept “Si” and “entonces”.
Award (A1) for “not break my arm” and “not hurt” in correct order.
a.
(A1)(A1) (C2)
Notes: Award (A1) for each correct column.
b.
logically equivalent (A1)(ft)
last two columns of the truth table are identical (R1)(ft) (C2)
Notes: Do not award (A1)(ft)(R0).
Follow through from the last two columns of the table in part (a).
c.
Examiners report
[N/A]
a.
[N/A]
b.
[N/A]
c.
Syllabus sections
Topic 3 - Logic, sets and probability » 3.3 » Truth tables: concepts of logical contradiction and tautology.
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