Page 251 - MATHEMATICS COURSE FOR SECONDARY SCHOOLS BOOK 2

(iv) at least one of the three martial arts?
(v) none of the three martial arts?
(b) How many students were surveyed?
Use the Venn diagram to answer the following questions.
(a) How many students were surveyed?
(b) How many students liked football and cricket?
(c) How many students liked only cricket?
(d) How many students liked tennis?
(e) How many students liked both cricket and tennis?
35 Let p: Ramona works Mathematics problems.
And q: Ramona will pass her examination.
Express each of the following proportions as an English sentence.
(a) np
(b) p ^q
(c) pv q
(d) p→q
(e) q→p
(f) np→nq
(g) nq→np
36 Construct a truth table for each of the compound propositions
(a) nq → p
(b) n(p ^ q)
(c) n(p → q)
(d) n(np v q)
(e) n(np ^ q)
37 Show that n(p → q) 􏰀 n(np v q) are logically equivalent.
38 Show that n(p → q) 􏰀 n(q v np) are logically equivalent.
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