venmic wrote:Is the integer N odd?
1 ) N is divisible by 3
2) N i divisible by 5
other than plugging in numbers and then finding out the answer how do you work it out using variables
Appreciate your help
E
A semi-algebraic representation of the statements could follow this:
Stat. (1) N=3*integer, where the integer could be odd or even.
3*odd = odd
3*even=even
Therefore N could be odd or even.
Stat. (2) N=5*integer, where the integer could be odd or even.
5*odd = odd
5*even=even
Therefore N could be odd or even.
Combined: N = 3*5*integer = 15*integer, where the integer could be odd or even.
15*odd = odd
15*even=even
Therefore N could be odd or even.
But this really just complicates things. Variables are cumbersome for this problem. All you really need to do is show that the statements are insufficient - find examples where N is odd and not odd. 3 and 6 for stat. (1), 5 and 10 for stat. (2), 3*5 and 3*5*2 for combined.
