Page 39 - ADVANCED MATH F.5

Form Five Form Five

Inverse: If you did not buy our clothes, then you are not
attractive.
(d) Converse: If today is a holiday, then it is Saturday.
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Contrapositive: If today is not a holiday, then it is not Saturday.
Inverse: If today is not Saturday, then it is not a holiday.

(e) Converse: If Nuru pass the examination, then she is intelligent.
Contrapositive: If Nuru do not pass the examination, then she
is not intelligent.
Inverse: If Nuru is not intelligent, then she will not pass the
examination.

4. (a) Not a tautology (b) Tautology
(c) Tautology (d) Tautology

5. They have the same truth values (They are logically equivalent).

6. (a) Tautology (b) Tautology
(c) Not a tautology (d) Tautology
(e) Not a tautology (f) Not a tautology
(g) Tautology (h) Tautology
(i) Not a tautology (j) Tautology

7. (a), (b), (c), and (e)

9. (a) Logically equivalent (b) Logically equivalent

(c ) Logically equivalent
(d) Logically equivalent

10. (d) and (f )

11. (a) T (b) T (c) p∨ qr∨  (d) T

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Mathematics for Advanced Secondary Schools

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ADVANCED MATH F.5 TG CHAPTERS.indd 33
ADVANCED MATH F.5 TG CHAPTERS.indd 33 30/06/2024 18:01:49