Definition. Let be the relation on NN defined by f f(a) < g(a), where a N is least such that f(a) = g(a). Exercise 4. Prove that is a linear ordering of NN. Exercise 5. Give an example of a sequence of functions for E NN such that ... < I+uf < uf < ... < if < ¹f of

STION 6 A. Let R be a relation on set A. A={x: x eJ and 0 sxs 12}. and R={(a,b): la-b is multiple of 6}. Represent this relation by a matrix. B. Using induction, prove that 4n-1 is divisible by 3, where ne N ach File Browse My Computer - Save and Submit to save and submit. Click Save All Answers to save all answers. Sav Take Test: Mid Exa... Document1 - Word... hp 中

. Let f= {(-4,4), (-2, 4), (1, 3), (3, 5), (4, 6)} and g= {(-4, 2), (2, 1), (0, 2), (1, 2), (2, 2), (4,4)}. Determine: a) g-f

17 Which set of ordered pairs could represent a linear function? A {(0, 1), (–1, –1), (2,5), (–1, 1)} ® {(-1, –1), (0, 1), (1, 3), (0, 7)} © {(-2,4), (0,0), (4, 8), (7, –14)} D {(-3,5), (–1, 1), (3, –7), (7, –15)}

N 1. Which of the following relations Is a function? ((0, 0), (0, 1), (0, 2)} {(0, 0), (1, 1), (2, 4)} {(0, 0), (1, 2), (2, 2)} {(0, 0), (1, 2), (1, 3)} I. II. III. IV. I, II, and III only I and II only II and III only III and IV only 2. Which graph does not represent y as a function of x? acer ABCD