Question

If you add 1 to an even number, the answer will be even.
A. True
B. False

Answer 1

the answer is false

Explanation:

this is an example: 22+1=23 23 is not an even number

Answer 2

B. False

Explanation:

Let the even number be x_e and odd be x_o

`{ \tt{ = x _(e) + 1}}`

Assume the range is 2 ≤ x ≤ 4

`{ \tt{x _(2) = 2 + 1}} \\ { \tt{x_(2) = 3 \: (odd)}}`

`{ \tt{ x_(4) = 4 + 1}} \\{ \tt{x _(4) = 5 \: (odd)}}`

Therefore:

`{ \tt{x _(n + 1) = x _(e) + n \: \: gives \: odd}}`

Hence;

`{ \tt{ x_(e) + 1 = x _(o) }}`