Question

Let p and q be two statements as shown.

p: The carpet is rectangular.
q: The carpet is black.

Which of these correctly describes the truth value of the symbolic statement symbolic notation representing the logical statement either p or q and not p and q?
Answer

It is true when p is true and q is true.

It is false when p is true and q is false.

It is false when p is false and q is true.

It is false when p is false and q is false.

Answer 1

I THINK IT'S
It is false when p is true and q is false.

Answer 2

hmm..anyone else?

Answer 3

You can only pick one option?

Answer 4

yes

Answer 5

That carpet really tied the room together.

Answer 6

Sorry cant help. None of them seem to be right to me.

Answer 7

(p or q) and (not p and q)
That and in the middle means the both need to be true for the whole statement to be true.
Start by considering them separately. For the left statement, when is that true?
For the right statement, when is that true?
Then, consider when will they both be true?

Answer 8

im confused

Answer 9

(p or q)
When is that statement true?

not(p and q)
When is that statement true?

Answer 10

ok so. the second one then?

Answer 11

lol

Answer 12

????

Answer 13

please helpp!

Answer 14

Okay i think i got it gimme a min

Answer 15

The answer is It is false when p is false and q is false.

Answer 16

are you sure?

Answer 17

I break it down for you option by option.
1. It is true when p is true and q is true.
When p is true and q is true the logical statement will be false as it fails the requirement of not p and q.

2.It is false when p is true and q is false.
When p is true and q is false, it satisfy the logical statement thus it should be true

3. It is false when p is false and q is true.
Same reasoning as in 2.

4. It is false when p is false and q is false.
When p is false and q is false, the logical statement will be false as it demands one of them to be true, either p or q.

Answer 18

thanks!!!

Answer 19

lol np. I like how smoothmom just lol and leave.