TMA3/MTH211

TMA Quiz Questions TMA: TMA3/MTH211 Matric Number:  SCORE=10.00 MTH211 - SET THEORY AND ABSTRACT ALGEBRA Mr Ogundipe Olalekan (oogundipe@noun.edu.ng ) 1 Let R$$\mathbb{R}$$ be the universal and suppose that $$A=\left \{ x\; \epsilon\mathbb{R}:0 Ac={xϵQ:x≤0orx>2}$$A^c=\{xϵ\mathbb{Q}:x\le 0orx>2\}$$ Ac={xϵR:x≤0orx>3}$$A^c=\{xϵ\mathbb{R}:x\le 0orx>3\}$$ Ac={xϵR:≤0x>1}$$A^c=\{xϵ\mathbb{R}:\le 0x>1\}$$ Ac={xϵR:x≤−1orx>−0}$$A^c=\{xϵ\mathbb{R}:x\le -1orx>-0\}$$ 2 If A={x,y}$$A=\{x,y\}$$ , B={1,2,3}$$B=\{1,2,3\}$$ and C=Φ$$C=\mathrm{\Phi }$$ . Find the Cartesian product of A and C Φ$$\mathrm{\Phi }$$ {(x,1),(x,2),(x,3),(y,1),(y,2),(y,3)} {(x,1),(y,1),(x,2),(y,2),(x,3),(y,3)} {(x,1),(x,2),(x,3),(y,1),(y,2),(y,3)} 3 Given that f:Z→Q$$f:\mathbb{Z}\to \mathbb{Q}$$ be defined by f(n)=n1$$f(n)=\frac{n}{1}$$ . Then f is/are Bijective unto one to one digective 4 Given that g:Q→Z$$g:\mathbb{Q}\to \mathbb{Z}$$ be defined by g(p/q)=p$$g(p/q)=p$$ where p/q is a rational number expressed in its lowest term with a positive denominator, g can be said to b unto one to one bijective none of the option 5 If B=ab$$B=\frac{a}{b}$$ such that a, b are integers , then B is a set of _____numbers complex real natural rational 6 The________ product A×B$$A\times B$$ of the sets A and B, is the set of all possible ordered pairs (a, b), where a∈A,b∈B$$a\in A,b\in B$$ . Dot Cross Cartesian times 7 The set of all elements of set A that are not in set B is called ……… of A and B Difference Union Intersection Universal 8 A rule which associates every element of a non-empty set A exactly on element of a non-empty set B is called a ____ equation function subset set 9 Let A = {1, 2, 3} and B = {2, 3, 4}, then A \ B 1 2 3 4 10 A relation R defined on a set S is said to be ________ if b R a ∀a,b∈S$$\mathrm{\forall }a,b\in S$$ . transitive reflexive symmetric none of the above