Page 27 - ADVANCED MATH F.5

Form Five Form Five

6.
p q pq∧ pq∨ (pq∧ ) → (pq∨ )
T T T T T
T F F T T
FOR ONLINE READING ONLY
F T F T T
F F F F T

7. (a) ~(p∧ ~ )q (b) ~ p∨ ~ q

8.
p q r ~ p q → r ~ p ↔ (q → ) r

T T T F T F
T T F F F T
T F T F T F
T F F F T F
F T T T T T
F T F T F F
F F T T T T
F F F T T T

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

10. (a) (~ PQ∧ ) (P∨ ∧ ~ )Q (b) [(P → Q ) (Q∧ ↔ ] ) R → (~ R∧ ~ )Q

11. (a) Halima works hard or she is poor.
(b) It is not true that Halima is poor and she works hard.
(c) If Halima is poor, then she works hard.
(d) Halima is poor and she works hard.
(e) If Halima is not poor, then she doesn’t work hard.
(f) Halima is not poor or she doesn’t work hard.

(g) Halima works hard if and only if she is poor.
(h) Halima does not work hard or she is poor and she works
hard.

21
Mathematics for Advanced Secondary Schools

30/06/2024 18:01:48
ADVANCED MATH F.5 TG CHAPTERS.indd 21
ADVANCED MATH F.5 TG CHAPTERS.indd 21 30/06/2024 18:01:48