2. (a) Prove that if x > 3 and y > 4, then ry > 11....

 

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2. (a) Prove that if x > 3 and y > 4, then ry > 11. (b) Determine the range of f, if f : DR, where f(x) = x. I. D= (-2,2) II. D= [-7,2] III. D= (-4,2] (c) Proof by contrapositive that for x, y Z, if ry is even then either x or y is even. (a) By contradiction, prove that Vx, y Z, if ry is even and y is odd then x is even. (b) Show that the set }, is countable. (c) Find the values of x and y for which (x+y, 0) = (3, xy) 2. (a) Prove that if x > 3 and y > 4, then ry > 11. (b) Determine the range of f, if f : DR, where f(x) = x. I. D= (-2,2) II. D= [-7,2] III. D= (-4,2] (c) Proof by contrapositive that for x, y Z, if ry is even then either x or y is even. (a) By contradiction, prove that Vx, y Z, if ry is even and y is odd then x is even. (b) Show that the set }, is countable. (c) Find the values of x and y for which (x+y, 0) = (3, xy)