TMA4/MTH211

My TMA Home TMA Results My Pending TMA Quick Help TMA Quiz Questions TMA: TMA4/MTH211 Matric Number:  SCORE=10.00 MTH211 - SET THEORY AND ABSTRACT ALGEBRA Mr Ogundipe Olalekan (oogundipe@noun.edu.ng ) 1 A relation R defined on a set S is said to be ………… if b R a ∀a,b∈S$$\mathrm{\forall }a,b\in S$$ . transitive  reflexive symmetric none of the above 2 A relation R defined on a set S is said to be ………… if a R b and b R c implies a R c ∀a,b,c∈S$$\mathrm{\forall }a,b,c\in S$$ reflexive symmetric transitive none of the above 3 Let A = {1, 2, 3} and B = {2, 3, 4}, then A \ B 1 2 3 4 4 Let A and B be two sets such that a∈A$$a\in A$$ and b∈$$b\in$$ B, then (a, b) is called ………. ordained palrs ordered augmented palrs augmented palrs  ordered pairs 5 One of the following is false (A∪B)×C=(A×C)∪(B×C)$$(A\cup B)\times C=(A\times C)\cup (B\times C)$$ (AB)×C=(A×C)∪(B×C)$$(AB)\times C=(A\times C)\cup (B\times C)$$ (A∩B)×C==(A×C)∩(B×C)$$(A\cap B)\times C==(A\times C)\cap (B\times C)$$ . A∪Ac=X$$A\cup A^c=X$$ , where X is the universal set 6 One of the following is not true of the Cartesian product of two sets A and B. A X B = ∅ if A = ∅ or B = ∅ If A has m elements and B has n elements,then (A x B) has mn elements. (B x A) also has mn elements. The elements of (B x A) need not be the same as the elements of (A x B). The elements of (B x A) are always the same as the elements of (A x B) 7 Let A = {1,2,3} and B = {5,6}, then A X B is equal to { (1, 4), (1, 6), (2, 5), (2, 6), (3, 4), (3, 6) } { (1, 5), (1, 6), (2, 6), (3, 4), (3, 6) }  { (1, 5), (1, 6), (2, 5), (2, 6), (3, 5), (3, 6) }. { (1, 2,3,5,6) } 8 Let A and B be two non-empty sets, then A X B represents Cartesian addition Cartesian multiples Cartesian product Cartesian subtraction 9 The complement of the complement of a set is ………. zero one the set itself Subset 10 Two sets are disjoint if their……………… is empty. union intersection complement all of the above