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Date	May 2009	Marks available	2	Reference code	09M.1.sl.TZ1.2
Level	SL only	Paper	1	Time zone	TZ1
Command term	Write in words	Question number	2	Adapted from	N/A

Question

Consider the two propositions p and q.

p: The sun is shining q: I will go swimming

Write in words the compound proposition

$p \Rightarrow q$ ;

[2]

Write in words the compound proposition

$\neg p \vee q$ .

[2]

The truth table for these compound propositions is given below.

Complete the column for $\neg p$ .

[1]

The truth table for these compound propositions is given below.

State the relationship between the compound propositions $p \Rightarrow q$ and $\neg p \vee q$ .

[1]

Markscheme

If the sun is shining then I will go swimming. (A1)(A1) (C2)

Note: Award (A1) for “if…then” and (A1) for correct order.

[2 marks]

Either the sun is not shining or I will go swimming. (A1)(A1) (C2)

Note: Award (A1) for both correct statements and (A1) for “either” “…or”.

[2 marks]

(A1) (C1)

[1 mark]

They are (logically) equivalent. (A1) (C1)

Note: Do not accept any other answers.

[1 mark]

Examiners report

The most common error was poor use of the “If...then” connective.

Confusion between “and” and “or” was rare, however, the use of implication in this part was a little too common.

Precise, correct terminology was expected in this part.

[N/A]

Syllabus sections

Topic 3 - Logic, sets and probability » 3.2 » Compound statements: implication,

$\Rightarrow$ ; equivalence,

$\Leftrightarrow$ ; negation,

$\neg$ ; conjunction,

$\wedge$ ; disjunction,

$\vee$ ; exclusive disjunction,

$\underline \vee$ .

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