Math people I need some help with this

[Bluff1]

Write the negation of the statements given below.
1.) Everyone cooks broccoli.

2.) No one cooks rhubarb.

3.) Everyone eats 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.

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.

Construct a truth table for the following statements.

6.) ~ p <-> q

7.) ~ (P v Q)

8.) p <-> q

Use DeMorgan’s laws or truth tables to determine whether

the following statements

are equivalent.

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

10.) ~(~Pv~Q)and ~P^Q

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


Use the following conditional statement to complete the

problems below.

If a creature has eight legs, then it is an arachnid.

12.) Write the converse of the above conditional statement.

13.) Write the inverse of the above conditional statement.

14.) Write the contrapositive of the above conditional

statement.

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.

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.

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

17.) All cats have fleas.

Rex is a cat.

Rex has fleas.

18.) Some A are B.

All C are A.

Some C are B.

Thanks in advance for anyone who can help me