Page 26 - ADVANCED MATH F.5

Form Five Form Five

(i) Conjunction is equivalent to multiplication
(ii) Disjunction is equivalent to addition
(iii) Conditional is equivalent to less or equal
(iv) Double implications is equivalent to equal
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3. Use Examples 2.2 to 2.10 in the Student’s Book to guide
students through discussion on determining the truth values of
the statements and writing statements in both symbolic form
and verbal sentences.

4. Guide students to attempt Exercise 2.2 in the Student’s Book.
Advise students to submit their work, check the correctness of
their answers, and provide them constructive feedback where
necessary.

Answers to Exercise 2.2

1. (a) False (b) False (c) True

2. (a) pq∧ (c) ~ (~ pq∨ ) (e) p ∨ (~ pq∧ )
(b) p∧ ~ q (d) ~ q∧ ~ p

3. Let a ≡ ~ p ↔ ~ q and b ≡ ~(p → ) q

q
p q ~ p ~ q ~ p ↔ ~ q p → ~(p → ) q a ↔
b
T T F F T T F F
T F F T F F T F
F T T F F T F T
F F T T T T F F

q
4. (a) p → (b) q → p (c) ~ (~ p ↔ ~ )q
5. (a) You like Physics or Chemistry but not Biology
(b) You like Physics and Chemistry or you do not like Physics and
Biology
(c) It is not true that you like Physics but not Biology.

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Mathematics for Advanced Secondary Schools

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ADVANCED MATH F.5 TG CHAPTERS.indd 20
ADVANCED MATH F.5 TG CHAPTERS.indd 20 30/06/2024 18:01:48