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# ___ some of this is done_ please check and make any corrections by hcj

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corrections.
1. Determine the truth value of the following statement:
The Eiffel Tower is located in France and all positive numbers are
between 0 and 1.
(Points :3)
True
False

2. Construct a truth table for (p q)→ ~q and submit it to the week 3,
assignment 3 dropbox.

(Points :6)

(p ^q) ? ~q

p    |   q       |   ~q   |   p^q |   (p ^ q) ? ~q

T        T            F          T        F
T        F            T          F        T
F        T            F          T        F
F        F            T          T        F

3. Fill in the heading of the following truth table using any of p, q,
, →, ↔, , and. Use keyboard shortcuts of --> for →, <--> for ↔, V
for, and ^ for .

p             q       _________
T             T           F
T             F           F
F             T           F
F             F           T

(Points :3)
p? q

4. Construct a truth table for ~q →(p q) and submit it to the week 3,
assignment 3 dropbox.

(Points :6)

5.

Given p is true, q is true, and r is false, find the truth value of the
statement ~p→ (q V ~r).

Show step by step work. Use keyboard shortcuts of --> for →, <--> for
↔, V for, and ^ for .

(Points :4)
6. Determine which, if any, of the three statements are equivalent.
I) If the carpet is not clean, then Sheila will run the vacuum.
II) It is not the case that both the carpet is clean and Sheila will
run the vacuum.
III) If the carpet is clean, then Sheila will not run the vacuum
(Points :3)

I, II, and III are equivalent

I and II are equivalent
I and III are equivalent

II and III are equivalent

None are equivalent

7. Write the argument below in symbols to determine whether it is valid
or invalid. State a reason for your conclusion. Specify the p and q you
used. Submit your full detailed solution to the week 3, assignment 3
dropbox.

If the gazebo is made of wood, then the vine is growing on the gazebo.
The vine is growing on the gazebo.

The gazebo is made of wood.
(Points :6)
8.

Determine which, if any, of the three statements are equivalent. Give a
to the week 3, assignment 3 dropbox.

I) If the sun sets in the west, then the sun does not set in the east.
II) If the sun sets in the east, then the sun does not set in the west.
III) Either the sun sets in the west or the sun sets in the east.

a. I and II are equivalent
b. I and III are equivalent
c. II and III are equivalent
d. I, II, and III are equivalent
e. None are equivalent
(Points :6)
9. Create an Euler diagram to determine whether the syllogism is valid
or invalid. Submit your Euler diagram and solution to the week 3,
assignment 3 dropbox.

All saxophonists have agile fingers.
Darren is a saxophonist.

Darren has agile fingers.

(Points :6)

10. If the argument below is valid, name which of the four valid forms
of argument is represented. If it is not valid, name the fallacy that
is represented.

If I catch the bus on time, then I am not late to work.
If I am not late to work, then I will get a raise.
Therefore, if I catch the bus on time, then I will get a raise.
(Points :3)

11. Form the inverse: If I eat a lot of sweets, then I will not feel
well. (Points :3)
If I do not feel well, then I ate a lot of sweets.

If I do not eat a lot of sweets, then I will feel well.

If I feel well, then I did not eat a lot of sweets.

If I do not feel well, then I did not eat a lot of sweets.

If I feel well, then I did not eat a lot of sweets.

12. Write the compound statement in symbols.

Let r = The food is good, p = I eat too much, q = I'll exercise.

If the food is good and I eat too much, then I'll exercise.
(Points :3)

(r p) q

(r p)→ p

q →(r p)

(r p) →q

13. Construct a truth table for ~(q ~p) and submit it to the week 3,
assignment 3 dropbox.

(Points :6)

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