The properties that are used here are.
Even + Odd = Odd
Even - Odd = Odd
Odd + Even = Odd
Odd - Even = Odd.
Now, let's look at the options.
Option A: \(a - b = Even - Odd = Odd\)
Option B: \(a + 2b = Even + Even = Even\)
Option C: \(3a + b = Even + Odd = Odd\)
Option D: \(2a - b = Even - Odd = Odd\)
Option E: \(a + b = Even + Odd = Odd\)
OA, A,C,D,ECarcass wrote:
If a is an even integer and b is an odd integer, which of the following must be odd?
Indicate all such expressions.
A. a − b
B. a + 2b
C. 3a + b
D. 2a − b
E. a + b
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