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Determine whether the following argument is valid. Explain your reasoning.

"If I go to work then I wash my face or drive my motorbike. I tie my shoes and I don’t wear headphones. If I wear headphones then I don’t wash my face. I go to work. Therefore I drive my motorbike or I don’t tie my shoes.".

User G K
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1 Answer

6 votes

Final answer:

The argument is valid. If the premises are true, and the given statements are followed logically, the conclusion that "I drive my motorbike or I don't tie my shoes" is a valid deduction based on the provided information.

Step-by-step explanation:

The validity of the argument can be assessed by examining the logical relationships between the premises and the conclusion. The argument uses conditional statements (if-then) and negations to establish connections between various actions. Let's break down the reasoning:

1. The first premise states that if the person goes to work, then they either wash their face or drive their motorbike.

2. The second premise includes two statements: the person ties their shoes and doesn't wear headphones.

3. The third premise states that if the person wears headphones, they don't wash their face.

4. The conclusion is that the person goes to work.

Given these premises, we can logically deduce that if the person goes to work and the conditions in the premises are true, it follows that they must either drive their motorbike or not tie their shoes. The argument is valid because the conclusion is a logical consequence of the premises. However, it's important to note that validity does not guarantee the truth of the premises; it only ensures that the conclusion logically follows from them. In this case, the reasoning within the argument is valid based on the provided information.

User Syed Waqas
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