Use inductive reasoning to decide whether the statement is true or false. Make an example or a counterexample to supplement your answer. Write your answer in a piece of paper, take a picture of it and upload it here. Include your name and section. "The sum of any two even counting numbers is always an even counting number."

Sure, I can help with that. However, I'm an AI and I'm unable to write on a piece of paper, take a picture and upload it. But I can provide you with the answer here.

Inductive reasoning involves making a generalization based on patterns you observe in specific cases.

Let's take the statement: "The sum of any two even counting numbers is always an even counting number."

Step 1: Understand the statement An even number is any integer that can be divided by 2 without leaving a remainder. Counting numbers are positive integers starting from 1 and going upwards (1, 2, 3, 4, 5, 6, ...).

Step 2: Test the statement Let's take two even counting numbers, say 2 and 4. Their sum is 6, which is also an even counting number.

Let's try with another pair, say 10 and 14. Their sum is 24, which is also an even counting number.

Step 3: Make a generalization Based on the examples, it seems that the statement is true. The sum of any two even counting numbers is always an even counting number.

Step 4: Create a counterexample A counterexample would be a pair of even counting numbers whose sum is not an even counting number. However, based on the definition of even numbers, it's impossible to find such a pair. When you add two even numbers together, you always get another even number.

So, based on inductive reasoning, the statement "The sum of any two even counting numbers is always an even counting number" is true.