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)

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.
.
.
.
Only a) is included in S.

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SOLUTION: If set S consists of all odd multiples of 3, that is, S = (�,&#8208;9, &#8208;3, 3, 9,�). If the integers x and y are in S, which of the following must also be in S? (a) xy (b)

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)