[mosta]

I'm bored at work so I'm going to do them. (and it must be past the due date by now (and if I can't get all of these I need to kill myself).)

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Write the negation of the statements given below.
1.) Everyone cooks broccoli.
someone doesn't cook broccoli.


2.) No one cooks rhubarb.
someone cooks rhubarb.


3.) Everyone eats spinach.
someone doesn't eat spinach.


4.) Write the following compound statement in symbolic form.

Let p: Today is Monday.
q: Tomorrow is the day Norm leaves.

If tomorrow is not the day Norm leaves, then today is
Monday.
-q -> p


5.) Write the following compound statement in symbolic form.
Let p: Today is Wednesday.
q: Tomorrow is Andrea’s piano lesson.

If today is Wednesday, then tomorrow is not Andrea’s piano
lesson.
p -> -q


Construct a truth table for the following statements.

6.) ~ p <-> q

p -p
q f t

-q t f


7.) ~ (P v Q)
p -p
q f f

-q f t


8.) p <-> q
p -p
q t f

-q f t

Use DeMorgan’s laws or truth tables to determine whether
the following statements
are equivalent.

9.) ~(~P^Q)and Pv~Q
yes


10.) ~(~Pv~Q)and ~P^Q
no


11.) ~(~Pv~Q)and P^Q
yes


Use the following conditional statement to complete the
problems below.

If a creature has eight legs, then it is an arachnid.
8 -> arach [positive]


12.) Write the converse of the above conditional statement.
arach -> 8


13.) Write the inverse of the above conditional statement.
-8 -> -arach


14.) Write the contrapositive of the above conditional
statement.
-arach -> -8


Determine whether the argument is valid or invalid.
You may want to use Euler circles to help.

15.) If a tree produces oxygen, then it has green leaves.
If a tree is healthy, then it has green leaves.
If a tree produces oxygen, then is has green leaves.
yes, but...


16.) If a person kills game, then the person has a weapon.
A person does not kill game or the person does not have a
weapon.
no


A person has a weapon and the person does not kill game.
yes


17.) All cats have fleas.
Rex is a cat.
Rex has fleas.
yes


18.) Some A are B.
All C are A.
Some C are B.
no

Thanks in advance for anyone who can help me


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good luck as a "math major". have you thought of applying to business school? I think you'd make an excellent candidate.