Let |x|= 3, if x is an odd integer; Let |x|= 6, if x is an even integer. r and

游客2024-01-12  21

问题 Let |x|= 3, if x is an odd integer;
Let |x|= 6, if x is an even integer.
r and s are integers, 3r is odd, and 5+5 is odd.

Column A                     Column B
|r|                          |s|

选项 A、if the quantity in Column A is greater
B、if the quantity in Column B is greater
C、if the two quantity are equal
D、if the relationship cannot be determined from the information given

答案 B

解析 如果x是奇数,令|x|=3;如果x是偶数,令|x|=6。r和s是整数,3r是奇数,5+s是奇数
解:本题的正确答案为(B)。要解答此题,首要的是判断r、s的奇偶性。根据本章中所讲的奇数和偶数的性质可知若3r是奇数,则r也是奇数;5+s是奇数,可推出s是偶数。再根据题目中所给出的运算规则,可推知:|r|=3, |s|=6。
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