If the following statement is false, provide a counterexample; if the following statement is true, write a proof: "For all integers a,b, and c if a|bc then a|b or a|c".

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Nikolaos P. · Accepted Answer

The statement is wrong. For example 6 divides (3 times 4)=12 but 6 does not divide 3 and 6 does not divide 4.

If the following statement is false, provide a counterexample; if the following statement is true, write a proof: "For all integers a,b, and c if a|bc then a|b or a|c".

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Emmersion

If the following statement is false, provide a counterexample; if the following statement is true, write a proof: "For all integers a,b, and c if a|bc then a|b or a|c".

1 Expert Answer

Still looking for help? Get the right answer, fast.

OR

RELATED TOPICS

RELATED QUESTIONS

rewrite the following statements

computer math

If the right angled triangle t, with sides of length a and b and hypotenuse of length c, has area equal to c^2/4, then t is an isosceles triangle.

What is the original message encrypted using the RSA system with n = 53 * 61 and e = 17 if the encrypted message is 3185 2038 2460 2550

Encrypt the message ATTACK using the RSA system with n = 43 * 59 and e = 13, translating each letter into integers and grouping together pairs of integers

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