- #1
avec_holl
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Homework Statement
Let S be a set of Natural numbers with the property that every even number in S is divisible by 5. Which of the following must be true.
a. 2 is not in S
b. 5 is not in S
c. S contains all multiples of 10
d. Every even number in S is divisible by 10
e. S contains no odd numbers
Homework Equations
N/A
The Attempt at a Solution
Just want to make sure my logic isn't faltering anywhere so here's what I figured . . .
a. 2 is even, 2 is not divisible by 5, therefore 2 is not a member of S
b. 5 is a natural number, 5 is not even, therefore 5 may be a member of S
c. S does not necessarily contain all multiples of 10
d. Every even member in S must be divisible by 10
e. S may contain odd numbers
Based on this a and d must be true. Thanks!