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

User Sanjar Adilov
by
3.1k points

2 Answers

14 votes
14 votes

Answer:

the answer is false

Explanation:

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

User Vitor Venturin
by
2.5k points
19 votes
19 votes

Answer:

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) }}

User Quantme
by
3.3k points