Let p represent the statement, “Jim plays football”

Let p represent the statement, “Jim plays football”, and let q represent “Michael plays basketball”. Convert the compound statement into symbols: “Jim plays football and Michael plays basketball.”

p OR q

p AND q

p Circled Plus q

None of the above.

Comments:

Question 2. Question :

Which of the following is a simple statement?

The party is on either Tuesday or Wednesday

I like mustard

Is it raining?

All of the above.

Comments:

Question 3. Question :

Let r = “The food is good”

p = “I eat too much”

q = “I’ll exercise”

Write the compound statement “If the food is good OR if I eat too much, then

I’ll exercise.” in symbols.

r Arrow(p OR q)

p Arrow(r OR q)

r OR (p Arrow q)

(r OR p) Arrow q

Comments:

Question 4. Question :

Construct a truth table for the statement (t AND p) Circled+Plus (~t AND ~p)

Comments:

Question 5. Question :

Construct a truth table for the statement (~q ANDp)

S

Comments:

Question 6. Question :

Let p represent the statement “Pam collects videotapes” and let q represent “John plays the tuba”. Convert the following compound statement into symbols:

“Pam collects videotapes and John does not play the tuba.”

p OR ~q

p AND ~q

q AND ~p

None of the above.

Comments:

Question 7. Question :

Let p represent the statement “I work hard” and q represent “It is Thursday”. Write the following compound statement in symbolic form:

If I do not work hard, then it is Thursday

p Arrow q

~p Arrow q

~p Arrow ~q

p Arrow ~q

Comments:

Question 8. Question :

Given the following compound statement, determine the value of p and q:

S = ~p AND q = You did not do the laundry and you left the car a mess

p: you did not do the laundry q: you left the car a mess

p: you did the laundry q: you left the car a mess

p: you did not do the laundry q: you did not leave the car a mess

None of the above.

Comments:

Question 9. Question :

Given the following truth table,

determine if (p AND q) and (p OR q) are logically equivalent statements:

No*

Yes

It cannot be determined from this information

Comments:

Question 10. Question :

Use the precedence rule to state the order in which you will apply each rule:

(~p OR ~q) Arrow r

first the if-then, then the p OR q, then the ~p and ~q

first the ~p and ~q, then the p OR q, then the if-then

first the ~p, then the ~q, then the if-then, then the p OR q

first the p OR q , then the if-then , then the ~p and ~q

Comments