SOLUTION: Let p represent the statement, "Jim plays football", and let q represent "Michael plays basketball". Convert the compound statements into symbols. It is not the case that Jim pl

Algebra.Com
Question 435503: Let p represent the statement, "Jim plays football", and let q represent "Michael plays basketball". Convert the compound statements into symbols.
It is not the case that Jim plays football and Michael does not play basketball.
(Multiple Choice)
A.) ~p Λ q
B.) ~p Λ ~q
C.) ~(p Λ q)
D.) ~(p Λ ~q)

Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!
Unfortunately there are no parentheses and without them the statement
is ambiguous

If it is to be taken this way:

It is not the case that (Jim plays football and Michael does not play
basketball)

then the answer is 

~(p /\ ~q)  choice D.

However if it is to be taken this way:

(It is not the case that Jim plays football) and Michael does not play
basketball

then it would be 

~p /\ ~q   choice B

But I would guess it would be D because if he had meant B it would
have been worded this way:

Jim does not play football and Michael does not play basketball.

So I would go with D.  But there is no reason to assume that
"it is not the case that" applies to the conjunction and not just
to the first statement only.   You might point out this ambiguity 
to your teacher.

Edwin


RELATED QUESTIONS

Let p represent the statement, "Jim plays football", and let q represent "Michael plays... (answered by jerryguo41,jim_thompson5910)
. Let p represent the statement, "Jim plays football", and let q represent "Michael plays (answered by MathLover1)
Let p represent the statement, "Jim plays football", and let q represent "Michael plays... (answered by jim_thompson5910)
Okay I have this question I thought I understood I thought the answer would be ~(~pVq) (answered by jim_thompson5910)
let p represent the statement Jim plays football, and let q represent micheal plays... (answered by cleomenius)
Please Help. I'm so confused and lost with theese questions. 1. Write a negation of... (answered by amyd62)
1. Write a negation of the statement. All squares are parallelograms.... (answered by nyc_function)
Let p represent a true statement, while q and r represent false statements. Find the... (answered by jim_thompson5910)
7. Let p represent a true statement, while q and r represent false statements. Find the... (answered by Jk22)