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Answer:

(Option B

(Option C

Step-by-step explanation:

Concept:

We will start by explaining each option one after the other

Step 1:

The sum of two odd numbers

Let the first odd number be

[tex]2a+1[/tex]

Let the second odd number be

[tex]2B+1[/tex]

By adding the two numbers, we will have

[tex]2a+1+2B+1=2(a+B)+2[/tex]

Hence,

The sum of two odd numbers is even

Step 2:

The difference of two odd number

Let the first odd number be

[tex]2a+1[/tex]

Let the second odd number be

[tex]2B+1[/tex]

To find their difference, we will have

[tex]2a+1-(2B+1)=2a+1-2B-1[/tex]

[tex]=2a-2B[/tex]

Hence,

The difference between two odd numbers is even

Step 3:

Let the first even number be

[tex]2a[/tex]

Let the second odd number be

[tex]2B+1[/tex]

By adding the two numbers, we will have

[tex]2a+2B+1[/tex]

Hence,

The sum of an odd number and an even number is odd

Step 4:

The difference between an odd number and an even number

Let the first even number be

[tex]2a[/tex]

Let the second odd number be

[tex]2B+1[/tex]

Hence,

The difference will be

[tex]2a-(2B+1)[/tex]

[tex]2a-2B-1[/tex]

Hence,

The difference between an odd number and an even number is odd

Therefore,

The correct answers are OPTION B and OPTION C

-Good Luck with your Assignment!

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Answer:

B and C hopefully this helps you! <3

Step-by-step explanation:

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