Determine whether the conclusion follows logically from the premises. I will write a term paper or I will read a book. I will not write a term paper. Therefore, I will read a book. Valid argument Invalid argument If my jeans are tight, then I will go on a diet. I am on a diet. Therefore, my jeans are tight. Valid argument Invalid argument Question 7 Draw a set diagram to determine whether the conclusion follows logically from the premises. If you have the flu, then you need to stay home. You need to stay home. Therefore, you have the flu. Valid argument Invalid argument If my jeans are tight, then I will go on a diet. My jeans are not tight. Therefore, I will not go on a diet.

Let's analyze each argument to determine their validity:<br /><br />1. **Argument 1:**<br /> - Premises:<br /> 1. I will write a term paper or I will read a book.<br /> 2. I will not write a term paper.<br /> - Conclusion: Therefore, I will read a book.<br /><br /> This is an example of a disjunctive syllogism, which is a valid form of argument. If one option in an "or" statement is false, the other must be true. Thus, this argument is valid.<br /><br />2. **Argument 2:**<br /> - Premises:<br /> 1. If my jeans are tight, then I will go on a diet.<br /> 2. I am on a diet.<br /> - Conclusion: Therefore, my jeans are tight.<br /><br /> This argument commits the fallacy of affirming the consequent. Just because you are on a diet does not necessarily mean your jeans are tight; there could be other reasons for being on a diet. Thus, this argument is invalid.<br /><br />3. **Argument 3:**<br /> - Premises:<br /> 1. If you have the flu, then you need to stay home.<br /> 2. You need to stay home.<br /> - Conclusion: Therefore, you have the flu.<br /><br /> This argument also commits the fallacy of affirming the consequent. Needing to stay home does not necessarily imply having the flu; there could be other reasons for staying home. Thus, this argument is invalid.<br /><br />4. **Argument 4:**<br /> - Premises:<br /> 1. If my jeans are tight, then I will go on a diet.<br /> 2. My jeans are not tight.<br /> - Conclusion: Therefore, I will not go on a diet.<br /><br /> This argument uses the contrapositive reasoning, which is valid. If the condition (jeans being tight) is not met, then the consequence (going on a diet) does not follow. Thus, this argument is valid.<br /><br />In summary:<br />- Argument 1: Valid<br />- Argument 2: Invalid<br />- Argument 3: Invalid<br />- Argument 4: Valid