حل واجبات الجامعة العربية المفتوحة
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حل واجب 0.5.4.4.3.2.1.4.5.5 الجامعة العربية المفتوحة
حل واجبات الجامعة العربية المفتوحة O54.4.3.2.1.4.5.5 - OO96654.4.3.2.1.4.5.5
ايميل : a_al_shora @ h.o.t.m.ail.c.o.m
سكايبي: a_al_shora
واتس اب: OO96654.4.3.2.1.4.5.5
TMA M131 fall 2015-2016
The TMA covers only chapters 1, 2, 4 and 9 and consists of eight questions for a total of 40 marks. Please solve each question in the space provided. You should give the details of your solutions and not just the final results.
Q−1: [3+2 marks]Determine whether the statement is a tautology,
a) using the truth table method,
b) using logic laws.
Q−2: [5×1 marks]Given a predicate P(x) where the domain is the set of real numbers, determine the truth value of each of the following quantifier, Justify your answer:
a) .
b) .
c) .
d) .
e) .
Q¬−3: [5×1 marks]Let A×B= {(1,1), (2,2), (3,1), (3,2), (1,2), (1,4), (2,1), (2,4), (3,4)}. Find
a) P(B),
b) Number of binary relations from A to B,
c) ,
d) ,
e) .
Q¬−4:[5×1marks]For all integersa, b, c, d, determine whether each of the following is TRUE or FALSE, Justify your answer:
a) If a | (b + c), then a | b and a | c.
b) If a | c and b | c, then (ab) | c2.
c) If a | b and c | d, then (ac) | (b + d).
d) If a | b, b | c and c | d, then a | d.
e) Ifa | b and c | d, then (a + c) | (b + d).
Q−5: [1+2+2 marks] Perform the following arithmetic operations for the numbers in the bases indicated and write outanswers in base 5 notation:
a) 244 + 132 (base 5).
b) 11101 × 111 (base 2).
c) F7 – B6 (base 16).
Q¬−6:[5 marks]Find the set of all binary relations on {0, 1}.
Q¬−7:[3+2 marks]LetA be the set of all ordered pairs of positive integers andR be the relation defined on A where (a, b)R(c, d) means that b - a = d - c.
a) Show that R is an equivalence relation.
b) Find [(3, 5)] and [(7, 1)].
Q¬−8:[5×1 marks]Let A be the set of all integers greater than or equal to 2 and R be the relation on A where(x, y)R if and only if x is a divisor of y. Determine whether each of the following is TRUE or FALSE, Justify your answer:
a) 7 is a minimal element of A.
b) 6 is not a minimal element of A.
c) A does not have any maximal elements.
d) 2 is the least element of A.
e) R is a total order relation.
خدمات مجانية – حلول واجبات الجامعة العربية المفتوحة
لجميع تخصصات الجامعة ولجميع فروع الجامعة
حلول واجبات – مشاريع تخرج – ملخصات هامة
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حلول مضمونة وغير مكررة وغير متشابهة لجميع واجبات الجامعة
متوفرمدرسين ومدرسات لجميع المواد والتخصصات