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. 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. 1 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.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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PS: Please answer all the subparts correctly as they are both connect in the same questions in word processing not handwritten on JPEG Format.

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.
1
(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:(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. 1 (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.
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