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12 Nov 2019
Example a * b = a + b/ab, on the set z. Solution This is not an operation on z. There are integers a and b example, 2 + 3/2 middot 3 = 5/6 is not an integer.) Thus, z is not closed under*. a * b = squareroot |ab|, on the set Q. a * b = a ln b, on the set {x elementof R: x > 0}. a * b is a root of the equation x^2 - a^2 b^2 = 0, on the set R. Subtraction, on the set z. Subtraction, on the set {n elementof z: greaterthanorequalto 0}.
Example a * b = a + b/ab, on the set z. Solution This is not an operation on z. There are integers a and b example, 2 + 3/2 middot 3 = 5/6 is not an integer.) Thus, z is not closed under*. a * b = squareroot |ab|, on the set Q. a * b = a ln b, on the set {x elementof R: x > 0}. a * b is a root of the equation x^2 - a^2 b^2 = 0, on the set R. Subtraction, on the set z. Subtraction, on the set {n elementof z: greaterthanorequalto 0}.
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Hubert KochLv2
13 Jan 2019