Discrete Maths - Sets

96. When A = {1, 2, 3, 4, 5} and r defined on A by xry if x + 1 = y, then r3 is

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97. If A = {x I -1 < x < 1} = B, then function f(x) = x/2 from A to B is

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98. A ∪ B is NOT equivalent to

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99. How many students know at least two languages?

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100. Let A = {1, 2, 3, 4} and B = {0, 1, -1, 2} and several sets of ordered pairs be specified as :

I. {(1, 0), (2, 1), (3, -1), (4, 2)}

II. {(1, 0), (2, -1), (3, 2)}

III. {(4, 1), (3, 2), (2, 3), (1, 4)}

IV. {(2, 1), (3, 0), (1, - 1), (3, 1), (4, 2)}

V. {(2, 0), (1, -1), (3, 2) (4, 1)}

 Which of the sets of ordered pairs are graphs of a function from A → B ?

 

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