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Exercises 16.5.1 Let g(2x + = - 3x + 2. Find g(-3). 16.5....

Exercises 16.5.1 Let g(2x + = - 3x + 2. Find g(-3). 16.5.2 Alice and Bob go for a run in the local park. Alice runs at 3 m/s. Bob starts from the same point as Alice, but he starts 20 seconds after Alice. Bob runs at a rate of 5 m/s. (a) Let t be the number of seconds that have elapsed since Bo...

1) Let A = {a,b,c,d} and let R be the relation given by R =...

1) Let A = {a,b,c,d} and let R be the relation given by R = {{a,a),(b,b),(c,c),(d,d), (a, b), (b, ,a), (b,c), (a,c)}. Draw the digraph of R. Is R reflexive, symmetric, transitive? In each case give a counter example if the answer is no. Let A= Z and let R = {(z,y):xy+s y' = r' + 1}. Which of t...

t 14. Let U = {1, 2,3, 4, 5}, R = {1,3,5}, S = {3,4, 5}, an...

t 14. Let U = {1, 2,3, 4, 5}, R = {1,3,5}, S = {3,4, 5}, and I = {2,4}. List the elements of the following sets: (a) RNSTT (b) RnSnT' (c) Rns'nI (d) R' n T (e) RUS (f)R'UR (h) S'UT In Exercises 15-20, simplify each given expression. 15. (S')' 16. sns" 17. SUS' 18. sno 19. In...

(8 Club Officers A club can elect a president and a treasur...

(8 Club Officers A club can elect a president and a treasurer in 506 different ways. How many members does the club have? 20 Call Letters TV and radio stations east of the Mississippi River have call letters beginning with the letter W. How many different three- or four-letter call letters ar...

Use the Venn dagram and the given conditions to determine th...

Use the Venn dagram and the given conditions to determine the number of siements in each region or explain why the conditions are impossible to most ntU)=31 1(A)=16 n(B)= 18. n(C)=20, n(AnB)=9. mancy=13. n(8 nc)=12, n(AnB nc)= VIII Fist decide whither or not the conditions are pessible to meet Se...

Theorem 4. Suppose A is a set and X is the set of all relati...

Theorem 4. Suppose A is a set and X is the set of all relations on A. Then 1. O are strongly preserved by union and d are weakly preserved by union, but d" are not preserved by union. 2. B are strongly preserved by intersection and B' are weakly preserved by inter- section, but B&qu...

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