Question

15 points

Answer 1

Since you work as a cashier you must have a source of income, so you must pay taxes, because when you have an income you MUST pay taxes

Answer 2

Answer:

1)

Law of Detachment

If you have an income, then you must pay taxes.

You have an income.

You must pay taxes.

Law of Syllogism

If you have an income, then you must pay taxes.

If you must pay taxes, then you have a job.

If you have an income, then you have a job

2)

Law of Detachment

If you work as a cashier in a convenience store then you have a job.

You work as a cashier in a convenience store.

You have a job.

Law of Syllogism

If you work as as a cashier in a convenience store then you have a job  

If you have a job then you must pay taxes

If you work as as a cashier in a convenience store then you must pay taxes

Step-by-step explanation:

To answer it properly we need to remind those Laws in Mathematical Logic.

The Law of Detachment says that if a Logical Implication and the second Statement is true, we can derive a true conclusion

1. If p→q (True)

2) p (True)

3) q (True)

On the other hand, The Law of Syllogism says:

1) If p→q (True)

2) If q→r (True)

Subsequently, we can conclude by derivation as true this Logical Implication:

3) If p→r (True)

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If you have an income, then you must pay taxes.

If you have a job, then you have an income.

Law of Detachment

If you have an income (p), then you must pay taxes. (q)

If you have a job(r), then you have an income.

1)If you have an income, then you must pay taxes. (T) If p→q (True)

2)You have an income (T) p (True)

3) You must pay taxes q (True)

Law of Syllogism

If you have an income (p), then you must pay taxes. (q) If p→q (True)

If you must pay taxes (q), then you have a job. (r) If q→r (True)

If you have an income (p), then you have a job (r) If p→r (True)

--

If you work as a cashier in a convenience store (p) then you have a job (q)

If you must pay taxes (r) then you have an income

Law of Detachment

If you work as a cashier in a convenience store (p) then you have a job (q) If p→q (True)

You work as a cashier in a convenience store (p) p (True)

You have a job (q) q (True)

Law of Syllogism

*If you work as as a cashier in a convenience store(p) then you have a job (q) If p→q (True)

*If you have a job (q) then you must pay taxes (r) If q→r (True)

If you work as as a cashier in a convenience store (p) then you must pay taxes (r) If p→r