Question

Write a conjecture using the information provided.

Answer 1

An integer has to be either even or odd

Even numbers are numbers divisible by 2, while odd numbers are not

Let us represent the 2 even numbers like this

ax+1

bx+1

When you add the two numbers together, you get

2a + 1 + 2b + 1

This can be simplified using the inverse of distributive property

2(a+b) + 2

2(a+b+1)

This is the sum, which is divisible by 2