Question

Write whether every positive integer can be of the form 4q+ 2, where q is an integer. Justify your answer.

Answer 1

4q + 2 is divisible by 2; which does not justify odd numbers.

Answer 2

Factor the expression to get:\[\bf 4q+2=2(2q+1)\]Since 'q' is an integer, then by the axiom that the sum of integers is also an integer we know that \(\bf 2q+1\) must then also be an integer. Any integer multiplied by 2 will be even, hence the expression does not result in odd integers.

Therefore, not every integer (odd integers in this case), can be represented by the expression 4q+2.

Answer 3

@goformit100

Answer 4

ok

Answer 5

More like "Thank you"?

Answer 6

more like medal?

Answer 7

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Answer 8

no i dont like u anymore.

Answer 9

Thank you @genius12

Answer 10

you must say sorry 200 times.

Answer 11

MOD I am sorry for the SPAM, and Thank you for reply.