let a and b be integers.The statement that a divides b meansthat t.pdf

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let a and b be integers.The statement that a divides b meansthat there exists an integer K such that b=ak. a divides bis denoted by a/b prove If a/b, then for any integer x, a/bx let a and b be integers.The statement that a divides b meansthat there exists an integer K such that b=ak. a divides bis denoted by a/b prove If a/b, then for any integer x, a/bx Solution The statement that a divides b means thatthere exists an integer K such that b=ak. a divides bis denoted by a/b let x be any integer not equal to zero now a/b => b=ak =>bx=akx(multiplying with x on both sides) =>bx =ak\' where k\'=kx =>a/bx(by definition).

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