The statements in are excerpts from the instructions for filing the Form 1040-A with the Internal Revenue Service. Rewrite them as we did in Example.
It is not true that: you are filing a joint return and are covered by a retirement plan at work.
Example Applying Logic to Legal Documents
Use DeMorgan’s laws to rewrite the following statement, which is based on instructions for filing Form 1040-A with the U.S. Internal Revenue Service.
It is false that: you received interest from a seller-financed mortgage and the buyer used the property as a personal residence.
SOLUTION:
It is easy to rewrite this statement if first we represent it in symbolic form. Let r represent “You received interest from a seller-financed mortgage” and let b represent “The buyer used the property as a personal residence.” This statement has the form ∼(r ʌ b).
By DeMorgan’s laws this statement is equivalent (~r) ∨ (~b). We can now rewrite this in English as “You did not receive interest from a seller-financed mortgage or the buyer did not use the property as a personal residence.”
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