SOLUTION: If set S consists of all odd multiples of 3, that is, S = (…,‐9, ‐3, 3, 9,…). If the integers x and y are in S, which of the following must also be in S?
(a) xy (b)
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-> SOLUTION: If set S consists of all odd multiples of 3, that is, S = (…,‐9, ‐3, 3, 9,…). If the integers x and y are in S, which of the following must also be in S?
(a) xy (b)
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Question 344425: If set S consists of all odd multiples of 3, that is, S = (…,‐9, ‐3, 3, 9,…). If the integers x and y are in S, which of the following must also be in S?
(a) xy (b) x+y (c) x-y (d) x/y (e) -x-y Answer by Fombitz(32388) (Show Source):
You can put this solution on YOUR website! Let and , where and are odd integers.
a) , which is also an odd multiple of since two odd integers multiplied together produce an odd integer.
b) which is a even multiple of since two odd integers add to an even integer. Then an even 3 times an even integer is even.
c) which is a even multiple of like b.
d) , which may or may not be a multiple of .
e), which is a even multple of like b.
.
.
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Only a) is included in S.
