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Date	May 2013	Marks available	2	Reference code	13M.1.sl.TZ2.2
Level	SL only	Paper	1	Time zone	TZ2
Command term	Write in symbolic form	Question number	2	Adapted from	N/A

Question

Consider the following propositions.

p : Students stay up late.

q : Students fall asleep in class.

Write the following compound proposition in symbolic form.

If students do not stay up late then they will not fall asleep in class.

[2]

Complete the following truth table.

[3]

Write down a reason why the statement \(\neg ( p \vee \neg q)\) is not a contradiction.

[1]

Markscheme

\(\neg p \Rightarrow \neg q\) (A1)(A1) (C2)

Note: Award (A1) for any 2 correct symbols seen in a statement, (A1) for all 3 correct symbols in correct order.

(A1)(A1)(ft)(A1)(ft) (C3)

Note: Award (A1) for each correct column. 4^th column is follow through from 3^rd, 5^th column is follow through from 4^th.

Not all of last column is F (R1)(ft) (C1)

Note: Award (R1)(ft) if final column does not lead to a contradiction.

Examiners report

[N/A]

Syllabus sections

Topic 3 - Logic, sets and probability » 3.2 » Translation between verbal statements and symbolic form.

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