Let "xy" denote "x does not divide y." Prove by any method. Let a and b be integers. If 3 ab, then 3a and 3 lb. Let a and b be integers. Suppose that 3 | a or 3 | b. If 3 | a, then a = and 3 b. for some integer k. Therefore ab = so 3 ---Select-- ab. Similarly, if 3 | b, then 3 | -Select-- ab. Therefore, by contraposition, 31 a

Q: Riley runs a bakery that sells two kinds of pies. Riley knows the bakery must make at least 26 and…

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Q: - 5. Prove that an integer n is odd if and only if n° – 3 is even.

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Q: For any integers a and b, a + b ≥ 15 implies that a ≥ 8 or b ≥ 8.

A: Let a+b≥15, where a,b are integers.   Case 1: b<8 Then: b<8⇒-b>-8⇒15-b>15-8⇒a≥15-b>7…

Q: • Show that if m divides 3, then m divides 9. (We say a divides b if there exists an integer k such…

A: Let  m divides 3 .  Then there exists an integer k such that 3 = mk. Now, 9 can be written as…

Q: 60. Wesley and Brian have a total of 87 baseball cards. Wesley has 30 less than twice as many…

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