by demetri.blaisdell Tue Aug 09, 2011 12:53 pm
Great question to test our understanding of conditional logic. On the LR section of the test, you probably won't have time to diagram conditional statements for very many questions. That being said, it's a matter of personal preference whether you want to diagram this. A diagram would look like this:
1. SI (sale item) ---> C (credit) but no R (refund)
2. HA (home appliance) ---> SI
3. GE (gardening equipment) ---> SI
4. some CT (construction tools) ---> SI
(D) simply combines the third line with the first. If all gardening equipment is on sale and every sale item can not be returned for a refund, then no gardening equipment can be returned for a refund.
If the diagram helps you see the relationships, then feel free to diagram. As you get more comfortable with conditional logic, hopefully you will spend less and less time diagramming.
(A) is the negative version of lines 1, 3, and 4 above. Negating a conditional statement is an invalid inference! We don't know anything about non-sale items. Maybe the normal return policy is more strict, not less.
(B) is the negation of line 1. We only know the return policy for items on sale.
(C) is another negation. Looking at lines 1 and 4 above, we see that some construction tools are on sale, which means they can be returned for store credit. We (still) don't know anything about the ones that aren't on sale.
(E) is the contrapositive of the wrong conditional statement. None of the things that are returnable for a refund are appliances or gardening equipment, but only SOME of the construction tools are on sale. The others might be returnable for a refund (we don't know one way or the other).
If conditional logic is still tripping you up, check out the advance conditionals lab in your student center. Let me know if you have any questions.
Demetri