(a) The sets A={2,4,6} and B={x,y,z}. Which of the following expres- sions (if any) are valid...
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(a) The sets A={2,4,6} and B={x,y,z}. Which of the following expres- sions (if any) are valid relations from A onto B? Explain your rea- soning. i. {(2, х), (4, х), (4,2), (6, 2)} ii. {} iii. {(2, x)} iv. {(2, x) , (4, у), (6, у)} (b) The set A = {2, 3, 4, 5, 6, 7, 8, 9, 10,12}. R is a relation on A defined by R = {(a, b) : a a € A, b E A, a is a multiple of b}. Write out the elements of R. (a) The sets A={2,4,6} and B={x,y,z}. Which of the following expres- sions (if any) are valid relations from A onto B? Explain your rea- soning. i. {(2, х), (4, х), (4,2), (6, 2)} ii. {} iii. {(2, x)} iv. {(2, x) , (4, у), (6, у)} (b) The set A = {2, 3, 4, 5, 6, 7, 8, 9, 10,12}. R is a relation on A defined by R = {(a, b) : a a € A, b E A, a is a multiple of b}. Write out the elements of R.
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