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Date November 2008 Marks available 2 Reference code 08N.1.sl.TZ0.4
Level SL only Paper 1 Time zone TZ0
Command term Write down Question number 4 Adapted from N/A

Question

Let \(p\) and \(q\) represent the propositions

\(p\): food may be taken into the cinema

\(q\): drinks may be taken into the cinema

Complete the truth table below for the symbolic statement \(\neg (p \vee q)\) .

[2]
a.

Write down in words the meaning of the symbolic statement \(\neg (p \vee q)\).

[2]
b.

Write in symbolic form the compound statement:

“no food and no drinks may be taken into the cinema”.

[2]
c.

Markscheme

     (A1)(A1)(ft)     (C2)

Note: (A1) for each correct column.

[2 marks]

a.

It is not true that food or drinks may be taken into the cinema.

Note: (A1) for “it is not true”. (A1) for “food or drinks”.

OR

Neither food nor drinks may be taken into the cinema.

Note: (A1) for “neither”. (A1) for “nor”.

OR

No food and no drinks may be taken into the cinema.

Note: (A1) for “no food”, “no drinks”. (A1) for “and”.

OR

No food or drink may be brought into the cinema.     (A2)     (C2)

Note: (A1) for “no”, (A1) for “food or drink”. Do not penalize for use of plural/singular.


Note:
the following answers are incorrect:

No food and drink may be brought into the cinema. Award (A1) (A0)
Food and drink may not be brought into the cinema. Award (A1) (A0)
No food or no drink may be brought into the cinema. Award (A1) (A0)

[2 marks]

b.

\(\neg p \wedge \neg q\)

Note: (A1) for both negations, (A1) for conjunction.

OR

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

Note: (A1) for negation, (A1) for \(p \vee q\) in parentheses.

[2 marks]

c.

Examiners report

(a) was generally answered well.

a.

(b) lack of precision in language led to many errors.

b.

(a) was generally answered well.

(b) lack of precision in language led to many errors.

c.

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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