SOLUTION: Cam someone please help me out here. I cannot figure out how to do this. I greatly appreciate all the help. Thank you!!!!!! 1. (2 pts) Write the negation for the statement

Click here to see ALL problems on Subset

Question 198317: Cam someone please help me out here. I cannot figure out how to do this. I greatly appreciate all the help. Thank you!!!!!!

1. (2 pts) Write the negation for the statement below.
Someone in the family makes bread.

2. (2 pts) Let p, q, and r be the following statements:
p: Mary is on the bus.
q: April is in the car.
r: Stan is at the zoo.
Translate the following statement into English: (p v ~ r) -> ~ q

Answer by anantha(86) (Show Source):
You can put this solution on YOUR website!
sol:
negation:
if a statement is modified by using the word 'not',then the new statement so formed is called the negation of the given statement
1).someone in the family makes bread
negation:someone in the family not makes bread
2).
disjunction:if two or more statements are combined by the connective'or' the resulting compound statement is called disjunction
p q pvq
T T T
T F T
F T T
F F F
Now the given statements are
p.Mary is on the bus
q.April is in the car
r.Stan is at the zoo
now p v ~r
step1:
write the negation for r
stan is at the zoo
~r=stan is not at the zoo
step2:
p v ~r
mary is on the bus v stan is not at the zoo
T v F =T (i.e;according to disjunction table)
p v ~r= mary is on the bus
conditional or implication:
if two or more simple statements are combined by the connective "if---then" the resulting compound statement is called conditional
p q p=>q
T F F
T T T
F T T
F F T
STEP3:
q.April is in the car
~q=April is not in the car
step4:
(pv~r)=> ~q
mary is in the bus => April is not in the car
T=>F=F(I.E;ACCORDING TO THE CONDITIONAL TABLE)
the result is April is not in the car
(pv~r)=> ~q = April is not in the car