If necessary, write the given argument as a chain of conditional propositions that have the form if p, then q. Then determine the validity of the entire argument. Premise: If taxes are increased, then taxpayers will have less disposable income. Premise: With less disposable income, spending will decrease and the economy will slow down. Conclusion: A tax increase will slow down the economy. C... Write the second premise as a conditional proposition that has the form if p, then q. Choose the correct answer below. OA. If taxpayers have less disposable income, then the economy will slow down. OB. If taxes are increased, then the economy will slow down. OC. With less disposable income, spending will decrease and the economy will slow down. OD. If taxes are increased, then taxpayers will have less disposable income. Write the conclusion as a conditional proposition that has the form if p, then q. Choose the correct answer below. O A. If taxpayers have less disposable income, then the economy will slow down. OB. If taxes are increased, then the economy will slow down. OC. If taxes are increased, then taxpayers will have less disposable income. OD. A tax increase will slow down the economy. Is the entire argument valid? OA. Yes, because there is a clear chain from "taxes are increased" to "the economy will slow down." OB. No, because the first premise is false. OC. No, because there is no clear chain from "taxes are increased" to "the economy will slow down." O D. Yes, because both of the premises are true.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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T15: Please answer this question following all of the directions and all parts. 

If necessary, write the given argument as a chain of conditional propositions that have the form if p, then q. Then determine the validity of the entire argument.
Premise:
If taxes are increased, then taxpayers will have less disposable income.
Premise: With less disposable income, spending will decrease and the economy will slow down.
Conclusion: A tax increase will slow down the economy.
Write the second premise as a conditional proposition that has the form if p, then q. Choose the correct answer below.
A. If taxpayers have less disposable income, then the economy will slow down.
B. If taxes are increased, then the economy will slow down.
C. With less disposable income, spending will decrease and the economy will slow down.
D. If taxes are increased, then taxpayers will have less disposable income.
Write the conclusion as a conditional proposition that has the form if p, then q. Choose the correct answer below.
A. If taxpayers have less disposable income, then the economy will slow down.
B. If taxes are increased, then the economy will slow down.
C. If taxes are increased, then taxpayers will have less disposable income.
D. A tax increase will slow down the economy.
Is the entire argument valid?
A. Yes, because there is a clear chain from "taxes are increased" to "the economy will slow down."
B. No, because the first premise is false.
C. No, because there is no clear chain from "taxes are increased" to "the economy will slow down."
D. Yes, because both of the premises are true.
Transcribed Image Text:If necessary, write the given argument as a chain of conditional propositions that have the form if p, then q. Then determine the validity of the entire argument. Premise: If taxes are increased, then taxpayers will have less disposable income. Premise: With less disposable income, spending will decrease and the economy will slow down. Conclusion: A tax increase will slow down the economy. Write the second premise as a conditional proposition that has the form if p, then q. Choose the correct answer below. A. If taxpayers have less disposable income, then the economy will slow down. B. If taxes are increased, then the economy will slow down. C. With less disposable income, spending will decrease and the economy will slow down. D. If taxes are increased, then taxpayers will have less disposable income. Write the conclusion as a conditional proposition that has the form if p, then q. Choose the correct answer below. A. If taxpayers have less disposable income, then the economy will slow down. B. If taxes are increased, then the economy will slow down. C. If taxes are increased, then taxpayers will have less disposable income. D. A tax increase will slow down the economy. Is the entire argument valid? A. Yes, because there is a clear chain from "taxes are increased" to "the economy will slow down." B. No, because the first premise is false. C. No, because there is no clear chain from "taxes are increased" to "the economy will slow down." D. Yes, because both of the premises are true.
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