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Date May 2018 Marks available 2 Reference code 18M.1.sl.TZ1.3
Level SL only Paper 1 Time zone TZ1
Command term Write down 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 ¬\(p \Rightarrow q\).

[2]
a.

Complete the truth table.

[3]
b.

State whether the compound proposition (\(\neg p \Rightarrow q\)) ∨ (\(\neg p \wedge q\)) is a tautology, contradiction or neither.

[1]
c.

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]

a.

  (A1)(A1)(A1)(ft)  (C3)

 

[3 marks]

 

b.

neither      (A1)(ft) (C1)
Note: Follow through from the final column of their truth table.

[1 mark]

c.

Examiners report

[N/A]
a.
[N/A]
b.
[N/A]
c.

Syllabus sections

Topic 3 - Logic, sets and probability » 3.1
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