# Prove or disprove the following statements:

• nddewaters
In summary, as a scientist, it is not possible to prove or disprove a statement with absolute certainty. The scientific method is used to determine the truth or falsehood of a statement through observation, hypothesis testing, and analysis of results. Multiple pieces of evidence are required to prove a statement and it is possible for a statement to be partially true and partially false. Conflicting evidence is carefully analyzed and further research may be conducted to come to a conclusive conclusion.
nddewaters
a) Every odd number greater than 3 can be written as the sum of two prime numbers.
b) If n is not a multiple of 3, then n² + 2 is a multiple of 3.
c) If n is an odd number, then n² + 4 is prime.
d) If X ⊆ A and Y ⊆ B , then X ∪ Y ⊆ A ∩ B.

You'll probably get better advice if you show what you've already tried.

## 1. Can you prove or disprove a statement with absolute certainty?

As a scientist, I cannot prove or disprove a statement with absolute certainty. All scientific theories and conclusions are based on evidence and can always be subject to further evidence or research.

## 2. How do you determine if a statement is true or false?

In order to determine the truth or falsehood of a statement, scientists use the scientific method. This involves making observations, forming a hypothesis, testing the hypothesis through experiments or further observation, and analyzing the results to draw a conclusion.

## 3. Can you prove a statement using only one piece of evidence?

No, proving a statement requires multiple pieces of evidence from various sources. This is to ensure that the conclusion is not biased or based on limited data.

## 4. Is it possible for a statement to be partially true and partially false?

Yes, it is possible for a statement to be partially true and partially false. This is because scientific conclusions are based on probabilities and can change with new evidence or data.

## 5. How do you handle conflicting evidence when trying to prove or disprove a statement?

When faced with conflicting evidence, scientists will carefully analyze each piece of evidence to determine its validity and reliability. They may also conduct further experiments or research to gather more evidence and come to a more conclusive conclusion.

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