Page 38 - ADVANCED MATH F.5

Form Five Form Five

Answers to Exercise 2.8

1. p∧  q
2. ( pq∧ ) ( ∨ p∧  ) q
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3.  p∧  q

4. ( p q∧ ) ( p∨ ∧ q )( p∨  ∧   ) q

5. pq∧

6. :(s 1 p∧ ~ qr∧ ) (~ p∨ ∧ ~ qr∧ )
≡ ≡ ~ qr∨ qr∧

s 2 :( pqr∧∧ ) (~ pqr∨ ∧∧ ) s qr∧
:
1
qr
≡∧ 2

Answers to Revision Exercise 2

1. Not a mathematical statement. Because it is not possible to asign a
truth value T or F to it.

2. (a) Converse: If a person is an adult, then a person is 20 years old.
Contrapositive: If a person is not an adult, then a person is not
20 years old.
Inverse: If a person is not 20 years old, then a person is not an
adult.
(b) Converse: If I have a test today, then today is Friday.

Contrapositive: If I have no test today, then today is not Friday.
Inverse: If today is not Friday, then I have no test.
(c) Converse: If you are attractive, then you bought our clothes.
Contrapositive: If you are not attractive, then you did not buy
our clothes.

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Mathematics for Advanced Secondary Schools

30/06/2024 18:01:49
ADVANCED MATH F.5 TG CHAPTERS.indd 32
ADVANCED MATH F.5 TG CHAPTERS.indd 32 30/06/2024 18:01:49