Formulate the following arguments symbolically and determine whether each is valid. (a) If the Democrats win, then the economy is up; and, if the Republicans win, then unem- ployment is up. The Democrats win or the Republicans win. (b) If the Democrats win or the Republicans win, then unemployment is up or the economy is up. The Democrats win and unemployment is not up. .. . Unemployment is up or the economy is up. .. The economy is up.

Advanced Engineering Mathematics
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ISBN:9780470458365
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Chapter2: Second-order Linear Odes
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(c) If the Democrats win, then unemployment is up.
If the Republicans win, then the economy is up.
The Republicans and Democrats do not both win.
The Democrats do not win.
.. The economy is up.
Transcribed Image Text:(c) If the Democrats win, then unemployment is up. If the Republicans win, then the economy is up. The Republicans and Democrats do not both win. The Democrats do not win. .. The economy is up.
2. Formulate the following arguments symbolically and determine whether each is valid.
(a) If the Democrats win, then the economy is up; and, if the Republicans win, then unem-
ployment is up.
The Democrats win or the Republicans win.
.. Unemployment is up or the economy is up.
(b) If the Democrats win or the Republicans win, then unemployment is up or the economy
is up.
The Democrats win and unemployment is not up.
.. The economy is up.
Transcribed Image Text:2. Formulate the following arguments symbolically and determine whether each is valid. (a) If the Democrats win, then the economy is up; and, if the Republicans win, then unem- ployment is up. The Democrats win or the Republicans win. .. Unemployment is up or the economy is up. (b) If the Democrats win or the Republicans win, then unemployment is up or the economy is up. The Democrats win and unemployment is not up. .. The economy is up.
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